* [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 1 2)
* [misc]approximate:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in (i beta alpha) around 0
* [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 (/ 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 (/ 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 (/ 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 (/ 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]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 (/ 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 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 (+ 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]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]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 (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 (+ 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 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 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]taylor:  Taking taylor expansion of (/ 1 (pow (fma i 2 alpha) 3)) 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]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)) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (fma i 2 alpha) 3)) (* 1 (* (sqr beta) i))) (+ (* (- (/ 1 (sqr (fma i 2 alpha)))) (* 1 (* beta 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) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (i beta alpha) around 0
* [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 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 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 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 (+ (/ 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 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 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 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 (- (+ (* 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]taylor:  Taking taylor expansion of (- (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))) 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 (/ 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 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 (- (+ (* 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]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))) (* 1 (* (pow (/ 1 beta) 3) (/ 1 (/ 1 i))))) (+ (* (- (fma (/ 1 i) 2 (/ 1 alpha))) (* 1 (* (sqr (/ 1 beta)) (/ 1 (/ 1 i))))) (* 1 (* 1 (* (/ 1 beta) (/ 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)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (i beta alpha) around 0
* [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 (- 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 (- 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 (- 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 (- (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]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) 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 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 (- (+ (* 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]taylor:  Taking taylor expansion of (fma (/ -1 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]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 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]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 (- (+ (* 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]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))) (* 1 (* (pow (/ 1 (- beta)) 3) (/ 1 (/ 1 (- i)))))) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* 1 (* (sqr (/ 1 (- beta))) (/ 1 (/ 1 (- i)))))) (* 1 (* 1 (* (/ 1 (- beta)) (/ 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:  [ 4 / 4 ] generating series at (2 1 1 2)
* [misc]approximate:  Taking taylor expansion of (fma i (+ (+ beta alpha) i) (* alpha beta)) in (i beta alpha) around 0
* [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 (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 (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 (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 (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 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))) in (i beta alpha) around 0
* [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 (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 (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 (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 (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 (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 (fma (/ 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 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))) in (i beta alpha) around 0
* [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 (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 (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 (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 (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) (- (+ (/ 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 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 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* * * [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 1 2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1 2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ i (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (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 (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (88 enodes)
* * [misc]simplify:  iters left: 3 (192 enodes)
* * [misc]simplify:  iters left: 2 (434 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) (+ (fma i 2 alpha) beta)) 1.0)) (fma (/ i (fma i 2 alpha)) (- (* (/ beta (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (/ beta (fma i 2 alpha))) (/ i (fma i 2 alpha))))
* * * * [misc]progress:  [ 8 / 105 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta)))) (- (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))) (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (206 enodes)
* * [misc]simplify:  iters left: 2 (484 enodes)
* [exit]simplify:  Simplified to (* (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (+ (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* (/ beta i) beta)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)) (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* (/ beta i) beta)))))
* * * * [misc]progress:  [ 9 / 105 ] 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) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta)))) (- (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) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (32 enodes)
* * [misc]simplify:  iters left: 5 (55 enodes)
* * [misc]simplify:  iters left: 4 (92 enodes)
* * [misc]simplify:  iters left: 3 (197 enodes)
* * [misc]simplify:  iters left: 2 (425 enodes)
* [exit]simplify:  Simplified to (* (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (fma (/ i beta) (sqr (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) (- (/ i beta) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* beta (/ beta i))))))
* * * * [misc]progress:  [ 10 / 105 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 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)) (* beta alpha))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (136 enodes)
* * [misc]simplify:  iters left: 2 (318 enodes)
* [exit]simplify:  Simplified to (/ (* (* (+ beta (+ alpha i)) (/ i (+ (fma i 2 alpha) beta))) (fma i (+ beta (+ alpha i)) (* alpha beta))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 11 / 105 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (25 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (160 enodes)
* * [misc]simplify:  iters left: 2 (344 enodes)
* [exit]simplify:  Simplified to (* (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (/ (+ (fma i 2 alpha) beta) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)))))
* * * * [misc]progress:  [ 12 / 105 ] simplifiying candidate #<alt-event (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ 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 (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (28 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (83 enodes)
* * [misc]simplify:  iters left: 3 (182 enodes)
* * [misc]simplify:  iters left: 2 (372 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (* (+ (+ beta alpha) i) i) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta))) (/ (/ 1 beta) alpha)))
* * * * [misc]progress:  [ 13 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] 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 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (log1p (expm1 (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (expm1 (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (expm1 (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (expm1 (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 82 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (expm1 (log1p (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log1p (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (log1p (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log1p (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 83 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (pow (/ i (+ beta (fma i 2 alpha))) 1)) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 84 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (exp (log (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (log (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (log (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (log (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 85 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (log (exp (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (exp (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (exp (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (exp (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 86 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (cube (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cbrt (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (cbrt (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cbrt (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 87 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (cbrt (cube (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (cube (/ i (+ beta (fma i 2 alpha))))
* * [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 (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (cube (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 88 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (sqr (sqrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (sqrt (/ i (+ beta (fma i 2 alpha))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (9 enodes)
* [exit]simplify:  Simplified to (sqrt (/ i (+ (fma i 2 alpha) beta)))
* [exit]simplify:  Simplified to (sqrt (/ i (+ (fma i 2 alpha) beta)))
* * * * [misc]progress:  [ 89 / 105 ] 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 (- i)
* * [misc]simplify:  iters left: 2 (2 enodes)
* [exit]simplify:  Simplified to (- i)
* [exit]simplify:  Simplified to (- i)
* [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:  [ 90 / 105 ] 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)))>
* * * * [misc]progress:  [ 91 / 105 ] 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 (/ 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:  [ 92 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ 1 (/ (+ beta (fma i 2 alpha)) i))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (/ (+ beta (fma i 2 alpha)) i)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) i)
* [exit]simplify:  Simplified to (/ (+ (fma i 2 alpha) beta) i)
* * * * [misc]progress:  [ 93 / 105 ] 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 (/ 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:  [ 94 / 105 ] 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 (/ i (- (pow beta 3) (pow (fma i 2 alpha) 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 beta) (cube (fma i 2 alpha))))
* [exit]simplify:  Simplified to (/ i (- (cube beta) (cube (fma i 2 alpha))))
* * * * [misc]progress:  [ 95 / 105 ] 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 (/ i (- (sqr beta) (sqr (fma i 2 alpha))))
* * [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))) (- beta (fma i 2 alpha)))
* [exit]simplify:  Simplified to (/ (/ i (+ beta (fma i 2 alpha))) (- beta (fma i 2 alpha)))
* * * * [misc]progress:  [ 96 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (log1p (expm1 (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 (fma i (+ (+ beta alpha) i) (* 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 (expm1 (fma i (+ (+ i alpha) beta) (* beta alpha)))
* [exit]simplify:  Simplified to (expm1 (fma i (+ (+ i alpha) beta) (* beta alpha)))
* * * * [misc]progress:  [ 97 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (expm1 (log1p (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 (fma i (+ (+ beta alpha) i) (* 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 (log1p (fma i (+ (+ i alpha) beta) (* beta alpha)))
* [exit]simplify:  Simplified to (log1p (fma i (+ (+ i alpha) beta) (* beta alpha)))
* * * * [misc]progress:  [ 98 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (+ (* i (+ (+ beta alpha) i)) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* [enter]simplify:  Simplifying (* i (+ (+ beta alpha) i))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (74 enodes)
* [exit]simplify:  Simplified to (fma (+ i beta) i (* alpha i))
* [exit]simplify:  Simplified to (fma (+ i beta) i (* alpha i))
* * * * [misc]progress:  [ 99 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (pow (fma i (+ (+ beta alpha) i) (* alpha beta)) 1)) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))>
* * * * [misc]progress:  [ 100 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (exp (log (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 (fma i (+ (+ beta alpha) i) (* 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 (log (fma i (+ (+ i alpha) beta) (* beta alpha)))
* [exit]simplify:  Simplified to (log (fma i (+ (+ i alpha) beta) (* beta alpha)))
* * * * [misc]progress:  [ 101 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (log (exp (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 (fma i (+ (+ beta alpha) i) (* 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 (exp (fma i (+ (+ i alpha) beta) (* beta alpha)))
* [exit]simplify:  Simplified to (exp (fma i (+ (+ i alpha) beta) (* beta alpha)))
* * * * [misc]progress:  [ 102 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (cube (cbrt (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 (fma i (+ (+ beta alpha) i) (* 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 (cbrt (fma i (+ (+ i alpha) beta) (* beta alpha)))
* [exit]simplify:  Simplified to (cbrt (fma i (+ (+ i alpha) beta) (* beta alpha)))
* * * * [misc]progress:  [ 103 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (cbrt (cube (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 (fma i (+ (+ beta alpha) i) (* alpha beta)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (25 enodes)
* [exit]simplify:  Simplified to (cube (fma i (+ (+ i beta) alpha) (* beta alpha)))
* [exit]simplify:  Simplified to (cube (fma i (+ (+ i beta) alpha) (* beta alpha)))
* * * * [misc]progress:  [ 104 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (sqr (sqrt (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 (fma i (+ (+ beta alpha) i) (* 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 (sqrt (fma i (+ (+ i alpha) beta) (* beta alpha)))
* [exit]simplify:  Simplified to (sqrt (fma i (+ (+ i alpha) beta) (* beta alpha)))
* * * * [misc]progress:  [ 105 / 105 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (/ (* (* (/ (+ (+ 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:  adding candidates to table
* * [misc]progress:  iteration 2 / 2
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<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)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (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))) 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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt 0) into 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))) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (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 (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))) 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)))) (- (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]backup-simplify:  Simplify (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) (sqr (+ beta (fma i 2 alpha)))))) 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]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 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 i)) (+ beta (fma i 2 alpha))) 0) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- (+ (* 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]backup-simplify:  Simplify (/ (/ (* (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))))) (* 2 (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) (sqr (+ beta (fma i 2 alpha)))))))) into (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (+ beta i)))) (/ 1 (+ 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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (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 (+ 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]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)) (* 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)))))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (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 (+ 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]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)) (* 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)))))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (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)) (- (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)) 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 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 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 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 (+ beta (+ alpha i)) (* beta alpha)) i) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (- (sqr (fma i 2 alpha)) 1.0)) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [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)) (- (sqr (fma i 2 alpha)) 1.0))) i) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) 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 (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 (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (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 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) 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]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (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 (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha))))) 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]taylor:  Taking taylor expansion of (* (+ alpha i) (* 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 (* 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]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 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 (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) into (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))
* [misc]backup-simplify:  Simplify (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))) into (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 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 (+ (* i 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) 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 (- (/ 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (+ (* (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))))) into (- (* 1.0 (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (/ (sqr (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3))))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (/ (sqr (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (* 2 (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (- (* 1.0 (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (/ (sqr (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)) 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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha)) 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))) (+ (* 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)) (* (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)) (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)) (* (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)) (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)) (* (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)) (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)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (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)) (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]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 (+ 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]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)))))) (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))) (+ (* 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)))))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 i)) (* (- (/ (* (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)))))) (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))) (+ (* 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)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (/ (* (- (/ (* (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)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (* 1/2 (* (/ (* (- (/ (* (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)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (* (- (/ (* (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)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* 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 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)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))) 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))) (+ (* 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)))))) (fma i 2 alpha)) i) 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))) (+ (* 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)))))) (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)) (- (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]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 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)) (* (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))) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) 1) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))) 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]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 (* (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) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [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 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 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)) (- (sqr (fma i 2 alpha)) 1.0))) i) 0) (* (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 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)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) 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 (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 (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (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 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) 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)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) (* i (* 1 1))) (+ (* (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) (* 1 (* alpha 1))) (* (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) (* 1 (* 1 beta))))) into (+ (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) (+ (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ alpha (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ beta (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)))) (/ (/ 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt (/ (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 (* (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 1 (+ (/ 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 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))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 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)))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 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) (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 (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)) (+ (* (/ (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))) (/ 0 (- (+ (/ 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))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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]backup-simplify:  Simplify (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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))))) (* 2 (sqrt (/ (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 (* 1/2 (* (sqrt (/ (- (+ (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 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)))) (* 2 (sqrt 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)))) (* 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta 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 (/ (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 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 (- (+ (* 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]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))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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 (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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 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)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (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 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 (+ (* +nan.0 (/ (sqr (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 alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta 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))) 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]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta 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 (/ (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 (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (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)))) into (* +nan.0 (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))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta 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 (/ (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 (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (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)))) into (* +nan.0 (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 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 (- (+ (* 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]backup-simplify:  Simplify (/ (- (- (+ (* 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))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr 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 (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))
* [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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr 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))) (* 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]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (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 (/ (* (sqr (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 (* (sqr (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 (sqr (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]taylor:  Taking taylor expansion of (fma (/ 1 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (sqr (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 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (* 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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (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 (+ 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 (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (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)) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr 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)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (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)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (+ (* +nan.0 (/ (sqr (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]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (sqr (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 (- (+ (* +nan.0 (/ (sqr (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]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (/ (sqr (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 (* +nan.0 (+ (* +nan.0 (/ (sqr (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 (* +nan.0 (+ (* +nan.0 (/ (sqr (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 +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (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 (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (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) (* 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) 0) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta))))) (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 3)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 4))))))))
* [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))))) (/ (/ 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt (/ (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))))) into (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (- 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 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 (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* (- (+ (/ (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)))) (/ -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))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 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 (+ 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 (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha))) (- (+ (/ 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))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (- (+ (/ 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 (- (+ (/ 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))) (* 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 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))) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (* 2 (sqrt (/ (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))))))) into (* 1/2 (* (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (- (+ (/ 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))) (sqrt (/ (- (+ (/ 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 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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (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))))) (* 2 (sqrt 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))) (* 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (/ (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 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 (- 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]backup-simplify:  Simplify (/ (- (+ (* 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))))) (sqr (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (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 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)) (+ (* 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))))) (* +nan.0 (/ (sqr (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 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)) (+ (* 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))))) (* +nan.0 (/ (sqr (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 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)) (+ (* 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 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)))) 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 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 (+ (* 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]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr 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 (+ 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 (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 (/ (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 (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (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)))) into (* +nan.0 (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))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 (/ (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 (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (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)))) into (* +nan.0 (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 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 (- 0) into 0
* [misc]backup-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]backup-simplify:  Simplify (/ (- (+ (* 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)))))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (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 (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 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 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]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))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (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 (* 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))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (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 (* 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 (+ (* 3 (/ (* (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))) (* 7 (/ (* (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 (/ (* (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 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 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))) (* 7 (/ (* (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 (* 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))) (* 7 (/ (* (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 (* 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 (* 7 (/ (* (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 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 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 (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (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)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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)) (sqr (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)) (sqr (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 (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 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)) 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))) (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]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) (- (+ (/ 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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 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))) (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 alpha) (/ 1 i)))) (/ 1 (* beta 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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (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))))) (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))) (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (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 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]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (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 (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (* +nan.0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (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 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (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 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 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 (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* 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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 4 (* (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 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (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 (+ (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) into (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (* 0 (- (* +nan.0 (sqr (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))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (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 alpha) (/ 1 i)))) (/ 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)))))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta)))))) (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 3)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 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)))) (- (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:  [ 3 / 4 ] generating series at (2 1 1 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:  [ 4 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (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)))) 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))) (/ i (+ beta (fma i 2 alpha)))) (- (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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt 0) into 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))) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (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 (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)))) in alpha
* [misc]taylor:  Taking taylor expansion of (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))) 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)))) (- (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]backup-simplify:  Simplify (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) (sqr (+ beta (fma i 2 alpha)))))) 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]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 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 i)) (+ beta (fma i 2 alpha))) 0) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- (+ (* 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]backup-simplify:  Simplify (/ (/ (* (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))))) (* 2 (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) (sqr (+ beta (fma i 2 alpha)))))))) into (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (+ beta i)))) (/ 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))) (/ i (+ beta (fma i 2 alpha)))) (- (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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (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 (+ 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]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)) (* 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)))))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (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))) (/ i (+ beta (fma i 2 alpha)))) (- (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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (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 (+ 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]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)) (* 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)))))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (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 (+ (* (* (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 (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))))) (* (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (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))) (+ (* 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)) (* 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)) (* (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)) (* 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)) (* (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))) 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)) (* (pow (fma i 2 alpha) 3) (- (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)) (* (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)) (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]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)) (* (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)) (* 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)) (* (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)) (* 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)) (* (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]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 (* 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 (+ 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)))))
* [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)))))) 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)))) (* 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 (- (+ (* 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 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 (+ 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 (+ 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)) (/ i (pow (fma i 2 alpha) 3))) (+ (* (- (/ (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 (sqr (fma i 2 alpha))))) (* (- (+ (/ (* (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 (fma i 2 alpha))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (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 (- (/ (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta 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))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (/ (* (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)))))))) (/ (* 2 (fma i 2 alpha)) (- (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)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha 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]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)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha 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)))))) (sqr (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))))) (+)) (* 2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 0.25 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (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)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow i 3) (sqr (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha 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)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* (sqr i) (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 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))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) (* i (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))) (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 (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 0.25 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (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)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow i 3) (sqr (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha 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)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* (sqr i) (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 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))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) (* i (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))) (fma i 2 alpha))))) (+ (* (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))))) (* (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 0.25 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (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)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow i 3) (sqr (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha 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)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* (sqr i) (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 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))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) (* i (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))) (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 (- (+ (* 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)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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)))))))))) (+ (* 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 (- (+ (* 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)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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)))))))))) (+ (* 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 alpha
* [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)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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)))))))))) in alpha
* [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 alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [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 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 (+ (* 3 (/ (* (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)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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))))))))) in alpha
* [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 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)) (* (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 (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (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 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [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 (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (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 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)) (* (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 (/ (* (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)))))) 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))))) 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 (+ (* 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 alpha
* [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]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]backup-simplify:  Simplify (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 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)) (* (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))))) 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 (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 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 (+ 0 (* 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 (+ 0 (* 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 (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 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))))) (* 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 (+ (* 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)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 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) (* (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)))) 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))))) (* 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 (- (+ (* 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 (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 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 (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)) 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 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) 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)) (sqr i)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into 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 (+ (* 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) 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)) (sqr i)) (* (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)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 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))))) 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 (+ 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 (+ (* 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 (+ 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 (- (+ (* 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 (- (+ (* 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))))) (* 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 (+ (* (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 (+ (* (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 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 (+ (* (sqr (fma i 2 alpha)) 0) (+ (* 0 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 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)))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 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 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)) (* (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)) (* (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 (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)))) (/ (/ 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 (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)))) (/ (/ 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt (/ (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 (* (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 1 (+ (/ 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 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))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 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)))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 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) (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 (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)) (+ (* (/ (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))) (/ 0 (- (+ (/ 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))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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]backup-simplify:  Simplify (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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))))) (* 2 (sqrt (/ (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 (* 1/2 (* (sqrt (/ (- (+ (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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 (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)))) (/ (/ 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 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)))) (* 2 (sqrt 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)))) (* 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)))) (/ (/ 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 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)))) (/ (/ 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [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 (- (+ (* 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]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))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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)))))) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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))))) 0))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (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) (+ (/ 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr 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)) (* 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]backup-simplify:  Simplify (/ (- (- (+ (* 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))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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))) i)) (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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)))))) (+ (* (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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))))) (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))) 0)))) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (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 (/ (* (sqr (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 (* (sqr (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 (sqr (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]taylor:  Taking taylor expansion of (fma (/ 1 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (* 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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [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 (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) 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 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ 0 1)) (* (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) i))
* [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))) (- (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) 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)))) (/ (sqr (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))) (- (/ (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)))) 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))) (/ 1 i))))) into (- (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)))
* [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 (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 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)))) (sqr i))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 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))) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (* 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))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))))) (+ (* 6.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* 20 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))))) (+ (* 6.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* 20 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)))) (sqr (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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)))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)))))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* 20 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)) (* 6.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)))))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* 20 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)) (* 6.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))))))))))))))))))))) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (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))))) (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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)))))) (+ (* (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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))) i))) (* (* +nan.0 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)))))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* 20 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)) (* 6.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))))))))))) 0))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (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 (/ (* (sqr (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 (* (sqr (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 (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (/ (* (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (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 (/ (* (sqr (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 (* (sqr (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 (sqr (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]taylor:  Taking taylor expansion of (fma (/ 1 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) into (/ (* (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (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 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 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]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 (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) into (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta 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 (/ 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4)
* [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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (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 (/ (* (sqr (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 (* (sqr (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 (sqr (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]taylor:  Taking taylor expansion of (fma (/ 1 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* 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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) 0) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))) (+ (* (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (* (/ 1 (sqr (/ 1 i))) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 5)))) (* (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (sqr (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 3))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))))))))
* [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))))) (/ (/ 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 (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))))) (/ (/ 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt (/ (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))))) into (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (- 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 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 (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* (- (+ (/ (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)))) (/ -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))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 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 (+ 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 (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha))) (- (+ (/ 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))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (- (+ (/ 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 (- (+ (/ 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))) (* 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 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))) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (* 2 (sqrt (/ (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))))))) into (* 1/2 (* (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (- (+ (/ 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))) (sqrt (/ (- (+ (/ 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [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))))) (/ (/ 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (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))))) (* 2 (sqrt 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))) (* 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))))) (/ (/ 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 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))))) (/ (/ 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 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 (- 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]backup-simplify:  Simplify (/ (- (+ (* 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))))) (sqr (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) 0))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr 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 (- 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]backup-simplify:  Simplify (/ (- (+ (* 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)))))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))))) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))) (+ (* (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))))) 0)))) into (- (+ (* +nan.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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 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)) 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))) (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]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) (- (+ (/ 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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 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))) (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 alpha) (/ 1 i)))) (/ 1 (* beta 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) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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)) (sqr (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)) (sqr (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 (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (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))))) (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))) (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [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 (- 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) into 0
* [misc]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 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ 0 -1)) (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) 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 (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) 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))) (/ (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)))) 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))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (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))) (/ 1 i))))) into (+ (* 4 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (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)))) (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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (* 4 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (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)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 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))))) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 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)))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 12 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 4.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 7 (/ (* (sqr (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)))) (sqr i))) (+ (* 8 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (* 2.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 12 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 4.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 7 (/ (* (sqr (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)))) (sqr i))) (+ (* 8 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (* 2.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))) (sqr (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 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3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))))) (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 2.0 (/ (* (fma (/ -1 i) 2 (/ 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(* 4.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))) (+ (* +nan.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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (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 i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (* +nan.0 (/ (* (sqr (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 i 4))))))))))))))))))))))))))))))))))))))))))))))))))) 0))))) into (- (+ (* +nan.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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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) 2 (/ -1 alpha)) (* (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)) 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))) (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]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) (- (+ (/ 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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)) (* (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 i 3)) 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (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) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta 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 i) (/ 1 alpha)))) (/ 1 (* beta 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 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)) 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))) (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]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 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 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))) (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 (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (* (sqr (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 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)) (* (sqr (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 i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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)) 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 (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) (- (+ (/ 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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (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 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (/ -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 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4)
* [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 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 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 alpha) (/ 1 i)))) (/ 1 (* beta 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 (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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 (* (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 (sqr (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))) (sqr (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]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 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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 alpha) (/ 1 i)))) (/ 1 (* beta 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 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))) 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))) (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]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))) (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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (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))) (* (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 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))) (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (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 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (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) (- (+ (/ 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]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 (* (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 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (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]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 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (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))) (sqr (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))) (sqr (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 (sqr (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]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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))
* [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))) (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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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 i) (/ 1 alpha)))) (/ 1 (* beta 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 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))) 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))) (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]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 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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (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))) (* (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 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))) (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 i) (/ 1 alpha)))) (/ 1 (* beta 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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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) 2 (/ -1 alpha)) (* (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)) 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))) (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]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) (- (+ (/ 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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 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 i) (/ 1 alpha)))) (/ 1 (* beta 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 alpha) (/ 1 i)))) (/ 1 (* beta 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta 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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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) (- (+ (/ 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]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 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 (* i i) into (sqr i)
* [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)))) (sqr i)) 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)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (sqr (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)) (sqr (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)) (sqr (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 (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 (* 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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta 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 i) (/ 1 alpha)))) (/ 1 (* beta 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 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)) 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))) (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]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 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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 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))) (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 i) (/ 1 alpha)))) (/ 1 (* beta 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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (sqr (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) 2 (/ -1 alpha)) (* (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)))))) (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))) (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (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)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (sqr (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)) (sqr (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)) (sqr (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 (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (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 (/ (* (sqr (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 i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (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) (- (+ (/ 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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (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]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (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)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 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 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 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)
* [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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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) (- (+ (/ 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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 (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))) (sqr (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))) (sqr (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 (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) 0) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* 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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* 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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))) (+ (* (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (/ 1 (sqr (/ 1 (- i)))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 5)))) (* (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (sqr (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 3))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) (pow beta 6))))))))
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (+ (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) (+ (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ alpha (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ beta (fma i 2 alpha))))))))>
* [enter]simplify:  Simplifying (sqr (+ (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) (+ (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ alpha (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (104 enodes)
* * [misc]simplify:  iters left: 3 (248 enodes)
* [exit]simplify:  Simplified to (sqr (* (sqrt (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (+ (/ i (fma i 2 alpha)) (+ (/ (* 1/2 beta) (fma i 2 alpha)) (/ (* alpha 1/2) (fma i 2 alpha))))))
* * * * [misc]progress:  [ 2 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 4))))))))))>
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 4)))))))))
* * * * [misc]progress:  [ 3 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (pow beta 4))))))))))>
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (pow beta 4)))))))))
* * * * [misc]progress:  [ 4 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (+ (/ (* (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 (sqr (sqrt (+ (/ (* (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 (26 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (138 enodes)
* * [misc]simplify:  iters left: 3 (355 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ (+ i beta) 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))) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))
* * * * [misc]progress:  [ 5 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (+ (/ (* (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 (sqr (sqrt (+ (/ (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (70 enodes)
* * [misc]simplify:  iters left: 3 (99 enodes)
* * [misc]simplify:  iters left: 2 (144 enodes)
* * [misc]simplify:  iters left: 1 (241 enodes)
* [exit]simplify:  Simplified to (fma (/ i beta) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (* beta beta)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (pow beta 4)) (* i (+ i alpha))))
* * * * [misc]progress:  [ 6 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (+ (/ (* (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 (sqr (sqrt (+ (/ (* (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 (35 enodes)
* * [misc]simplify:  iters left: 5 (63 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (130 enodes)
* * [misc]simplify:  iters left: 2 (178 enodes)
* * [misc]simplify:  iters left: 1 (279 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) beta) (/ i (* beta beta)) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow beta 4)) (* i (+ alpha i))))
* * * * [misc]progress:  [ 7 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (/ (+ (/ (* (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 (sqr (sqrt (/ (+ (/ (* (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 (28 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (100 enodes)
* * [misc]simplify:  iters left: 3 (203 enodes)
* * [misc]simplify:  iters left: 2 (395 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (fma i 2 alpha)) (+ (* (/ i (fma i 2 alpha)) (+ i beta)) (/ (* alpha i) (fma i 2 alpha)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 8 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (/ (+ (/ (* (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 (sqr (sqrt (/ (+ (/ (* (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 (32 enodes)
* * [misc]simplify:  iters left: 5 (56 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (179 enodes)
* * [misc]simplify:  iters left: 2 (333 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (+ i (* (/ i beta) (+ alpha i)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0))
* * * * [misc]progress:  [ 9 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (sqr (sqrt (/ (+ (/ (* (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 (sqr (sqrt (/ (+ (/ (* (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 (35 enodes)
* * [misc]simplify:  iters left: 5 (62 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (201 enodes)
* * [misc]simplify:  iters left: 2 (363 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma (/ -1 i) (+ (/ (- 1) i) (+ (/ (- 1) alpha) (/ (- 1) beta))) (/ 1 (* alpha beta))) beta) (fma (/ i beta) alpha (fma (/ i beta) i i))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 10 / 119 ] 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:  [ 11 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))))))))
* * * * [misc]progress:  [ 12 / 119 ] simplifiying candidate #<alt-event (λ (alpha beta i) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) (pow beta 6)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) (pow beta 6))))))))
* * * * [misc]progress:  [ 13 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (log1p (expm1 (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 (expm1 (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (expm1 (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (expm1 (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 14 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (expm1 (log1p (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 (log1p (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (log1p (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (log1p (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 15 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (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)) 1/2)))>
* * * * [misc]progress:  [ 16 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (pow (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))) 1)))>
* * * * [misc]progress:  [ 17 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (exp (log (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 (log (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (log (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (log (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 18 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (log (exp (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 (exp (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (exp (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (exp (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 19 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (cube (cbrt (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 (cbrt (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (cbrt (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 20 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (cbrt (cube (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 (cube (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (146 enodes)
* * [misc]simplify:  iters left: 2 (333 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))) (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (* (sqrt (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))) (* (/ (/ (+ alpha (+ i beta)) (+ (fma i 2 alpha) beta)) (+ (fma i 2 alpha) beta)) (/ (* i (fma i (+ alpha (+ i beta)) (* alpha beta))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 21 / 119 ] 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))) 1)) (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))) 1))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (92 enodes)
* * [misc]simplify:  iters left: 1 (132 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ (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) (+ beta (+ alpha i)))))
* [enter]simplify:  Simplifying (sqrt (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (63 enodes)
* * [misc]simplify:  iters left: 2 (145 enodes)
* * [misc]simplify:  iters left: 1 (282 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* [exit]simplify:  Simplified to (sqrt (/ (/ i (+ (fma i 2 alpha) beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * * [misc]progress:  [ 22 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (* (sqrt 1) (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 1)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt 1)
* [exit]simplify:  Simplified to (sqrt 1)
* [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:  [ 23 / 119 ] 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 (/ 1 (- (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))))))
* [enter]simplify:  Simplifying (sqrt (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (106 enodes)
* * [misc]simplify:  iters left: 1 (160 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* [exit]simplify:  Simplified to (sqrt (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * * [misc]progress:  [ 24 / 119 ] 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)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3)))) (sqrt (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (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)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (168 enodes)
* * [misc]simplify:  iters left: 2 (352 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma i (+ (+ alpha i) beta) (* alpha beta))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta))) (fma i (+ (+ alpha i) beta) (* alpha beta))) (- (sqr (cube (+ (fma i 2 alpha) beta))) (cube 1.0))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (158 enodes)
* * [misc]simplify:  iters left: 2 (410 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma (fma 1.0 (fma i 2 alpha) (* beta 1.0)) (+ (fma i 2 alpha) beta) (* 1.0 1.0))))
* [exit]simplify:  Simplified to (sqrt (fma (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma (fma 1.0 (fma i 2 alpha) (* beta 1.0)) (+ (fma i 2 alpha) beta) (* 1.0 1.0))))
* * * * [misc]progress:  [ 25 / 119 ] 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 (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0)))) (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)))) (- (sqr (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (216 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i)) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0))))
* [exit]simplify:  Simplified to (sqrt (/ (/ (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i)) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0))))
* [enter]simplify:  Simplifying (sqrt (+ (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (13 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (46 enodes)
* * [misc]simplify:  iters left: 2 (84 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) 1.0))
* [exit]simplify:  Simplified to (sqrt (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) 1.0))
* * * * [misc]progress:  [ 26 / 119 ] 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)))))
* * [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))))))
* [enter]simplify:  Simplifying (sqrt (- (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 (102 enodes)
* * [misc]simplify:  iters left: 1 (164 enodes)
* [exit]simplify:  Simplified to (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [exit]simplify:  Simplified to (sqrt (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* * * * [misc]progress:  [ 27 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqr (sqrt (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 (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (323 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* [exit]simplify:  Simplified to (sqrt (sqrt (/ (* (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) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))))))
* * * * [misc]progress:  [ 28 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (fabs (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]progress:  [ 29 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (fabs (/ (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]progress:  [ 30 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (fabs (/ (* (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]progress:  [ 31 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (fabs (/ (* (* (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]progress:  [ 32 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (fabs (/ (* (* (/ (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]progress:  [ 33 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (* 1 (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]progress:  [ 34 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 35 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 36 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 37 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 38 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 39 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 40 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 41 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 42 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 43 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 44 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 45 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 46 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 47 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 48 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 49 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 50 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 51 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 52 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 53 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 54 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 55 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 56 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 57 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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:  [ 58 / 119 ] 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 (- (* (* (/ (+ (+ 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:  [ 59 / 119 ] 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))) 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:  [ 60 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (* 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:  [ 61 / 119 ] 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)))) (/ 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:  [ 62 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ 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:  [ 63 / 119 ] 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)))) 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:  [ 64 / 119 ] 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))) (/ (- (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:  [ 65 / 119 ] 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)))) (- (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:  [ 66 / 119 ] 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 (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:  [ 67 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (+ (+ 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:  [ 68 / 119 ] 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) (* (- (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:  [ 69 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (* (+ (+ 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:  [ 70 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 71 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 72 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 73 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 74 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 75 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 76 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 77 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 78 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 79 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 80 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 81 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 82 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 83 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 84 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 85 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 86 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 87 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 88 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 89 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 90 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 91 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (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:  [ 92 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (/ (* (* (+ (+ 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:  [ 93 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* 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:  [ 94 / 119 ] 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))) 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:  [ 95 / 119 ] 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) (/ 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:  [ 96 / 119 ] 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 (- (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:  [ 97 / 119 ] 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 (- (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:  [ 98 / 119 ] 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 (* (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:  [ 99 / 119 ] 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 (* (* (/ (+ (+ 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:  [ 100 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (/ (* (* (+ (+ 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:  [ 101 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (/ (* (/ 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:  [ 102 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log1p (expm1 (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 (expm1 (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)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (expm1 (* (/ (/ (+ (+ 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 (expm1 (* (/ (/ (+ (+ 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:  [ 103 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (expm1 (log1p (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 (log1p (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)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (log1p (* (/ (/ (+ (+ 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 (log1p (* (/ (/ (+ (+ 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:  [ 104 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (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))) 2))>
* * * * [misc]progress:  [ 105 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (pow (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)))) 1))>
* * * * [misc]progress:  [ 106 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (exp (log (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 (log (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)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (162 enodes)
* * [misc]simplify:  iters left: 2 (379 enodes)
* [exit]simplify:  Simplified to (log (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (/ (+ (fma i 2 alpha) beta) i))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (log (/ (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (+ beta alpha) i) (/ (+ (fma i 2 alpha) beta) i))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 107 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (log (exp (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 (exp (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)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (328 enodes)
* [exit]simplify:  Simplified to (exp (* (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (+ (fma i 2 alpha) beta)) (/ (/ i (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (exp (* (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (+ (fma i 2 alpha) beta)) (/ (/ i (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 108 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cube (cbrt (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 (cbrt (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)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (145 enodes)
* * [misc]simplify:  iters left: 2 (327 enodes)
* [exit]simplify:  Simplified to (cbrt (* (/ (/ (+ (+ 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 (cbrt (* (/ (/ (+ (+ 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:  [ 109 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (cbrt (cube (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 (cube (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)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (77 enodes)
* * [misc]simplify:  iters left: 3 (217 enodes)
* [exit]simplify:  Simplified to (cube (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* [exit]simplify:  Simplified to (cube (* (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta))) (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))))
* * * * [misc]progress:  [ 110 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (sqr (sqrt (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 (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)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (147 enodes)
* * [misc]simplify:  iters left: 2 (330 enodes)
* [exit]simplify:  Simplified to (sqrt (* (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))) (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (sqrt (* (/ i (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (/ (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ i beta) alpha))) (+ (fma i 2 alpha) beta))))
* * * * [misc]progress:  [ 111 / 119 ] 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))) 1))) (sqr (sqrt (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (/ (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) 1)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (95 enodes)
* * [misc]simplify:  iters left: 1 (150 enodes)
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))))
* [exit]simplify:  Simplified to (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (+ alpha i) beta) (+ beta (fma i 2 alpha))))
* [enter]simplify:  Simplifying (sqr (sqrt (/ (/ i (+ beta (fma i 2 alpha))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (66 enodes)
* * [misc]simplify:  iters left: 2 (148 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:  [ 112 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqr (sqrt 1)) (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 (sqr (sqrt 1))
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (6 enodes)
* [exit]simplify:  Simplified to 1
* [exit]simplify:  Simplified to 1
* [enter]simplify:  Simplifying (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))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ 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)))
* [exit]simplify:  Simplified to (* (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ 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)))
* * * * [misc]progress:  [ 113 / 119 ] 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 (sqrt (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))))>
* [enter]simplify:  Simplifying (sqr (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 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (sqr (sqrt (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (51 enodes)
* * [misc]simplify:  iters left: 2 (109 enodes)
* * [misc]simplify:  iters left: 1 (167 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:  [ 114 / 119 ] 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)))) (- (pow (sqr (+ beta (fma i 2 alpha))) 3) (pow 1.0 3))))) (sqr (sqrt (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))))>
* [enter]simplify:  Simplifying (sqr (sqrt (/ (* (* (/ (+ (+ 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 (23 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (171 enodes)
* * [misc]simplify:  iters left: 2 (360 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 (cube (+ (fma i 2 alpha) beta))) (cube 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 (cube (+ (fma i 2 alpha) beta))) (cube 1.0)))
* [enter]simplify:  Simplifying (sqr (sqrt (+ (sqr (sqr (+ beta (fma i 2 alpha)))) (+ (sqr 1.0) (* (sqr (+ beta (fma i 2 alpha))) 1.0)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (385 enodes)
* [exit]simplify:  Simplified to (fma (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma (+ (fma i 2 alpha) beta) (fma (fma i 2 alpha) 1.0 (* beta 1.0)) (* 1.0 1.0)))
* [exit]simplify:  Simplified to (fma (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) (fma (+ (fma i 2 alpha) beta) (fma (fma i 2 alpha) 1.0 (* beta 1.0)) (* 1.0 1.0)))
* * * * [misc]progress:  [ 115 / 119 ] 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 (sqr (+ beta (fma i 2 alpha)))) (sqr 1.0))))) (sqr (sqrt (+ (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqr (sqrt (/ (* (* (/ (+ (+ 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 (22 enodes)
* * [misc]simplify:  iters left: 5 (41 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (219 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [exit]simplify:  Simplified to (/ (/ (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (/ (/ (+ (fma i 2 alpha) beta) i) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (sqr (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta))) (sqr 1.0)))
* [enter]simplify:  Simplifying (sqr (sqrt (+ (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 (25 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (148 enodes)
* [exit]simplify:  Simplified to (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) 1.0)
* [exit]simplify:  Simplified to (fma (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta) 1.0)
* * * * [misc]progress:  [ 116 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (sqr 1) (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 (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 (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 (20 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (144 enodes)
* * [misc]simplify:  iters left: 2 (317 enodes)
* [exit]simplify:  Simplified to (* (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ 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)))
* [exit]simplify:  Simplified to (* (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ 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)))
* * * * [misc]progress:  [ 117 / 119 ] 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 (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))))>
* [enter]simplify:  Simplifying (sqr (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 (16 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (88 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (235 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ i beta) alpha) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (sqr (sqrt (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 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 (- (* (+ (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:  [ 118 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* (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))) (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]progress:  [ 119 / 119 ] simplifiying candidate #<alt-delta (λ (alpha beta i) (* 1 (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))))))>
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  Final touches.
* * * [misc]progress:  tayloring alt 1 of 9
* [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)))) (/ 1 (- (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)))) (/ 1 (- (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 (/ 1 (- (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 (/ 1 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ 1 (- (+ (* 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)))) (/ 1 (- (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 (/ 1 (- (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 (/ 1 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ 1 (- (+ (* 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)))) (/ 1 (- (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 (/ 1 (- (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 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (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)))) (/ 1 (- (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 (/ 1 (- (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 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 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 (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (/ 1 (- (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 (+ (* (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 (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (fma i 2 alpha) (sqr (- (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 (+ (* (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (sqr (fma i 2 alpha))) (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (* (- (/ (* (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))))) (/ 1 (- (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)))) (+ (* 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)))))))))
* [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)))) (+ (* 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))))))))) 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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (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)))))))) 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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (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))))))) in alpha
* [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]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)))))) 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))))) 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]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 (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) 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))))) (/ 1 (- (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))))) (/ 1 (- (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 (/ 1 (- (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 (/ 1 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ 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 (* (* (* (/ (+ (+ (/ 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))))) (/ 1 (- (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 (/ 1 (- (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 (/ 1 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ 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 (* (* (* (/ (+ (+ (/ 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))))) (/ 1 (- (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 (/ 1 (- (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 (/ 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) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 1 (- (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 (/ 1 (- (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 (/ 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 (* (/ (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 (/ 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 (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (* 2 (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 (- (+ (* 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 (+ (* (/ (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))) (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)) 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 (/ 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 (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (+ (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)
* [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 (- (+ (* 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 (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (+ (* 3 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) (+ (* (- (+ (/ (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))) (- (* 2 (fma (/ 1 i) 2 (/ 1 alpha))))) (* (- (* 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))) 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)))))) (/ 1 (- (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)))))) (/ 1 (- (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 (/ 1 (- (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 (/ 1 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ 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 (* (* (* (/ (+ (+ (/ 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)))))) (/ 1 (- (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 (/ 1 (- (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 (/ 1 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ 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 (* (* (* (/ (+ (+ (/ 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)))))) (/ 1 (- (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 (/ 1 (- (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 (/ 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)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (/ 1 (- (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 (/ 1 (- (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 (/ 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 (* (/ (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 (- 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 (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))
* [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 (+ (* (/ (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))) (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)) into (+ (* 4 (/ (* (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 (+ (* 4 (/ (* (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 (* 4 (/ (* (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 4 in alpha
* [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 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]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]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 (- 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 (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ 1.0 (* 3 (sqr (fma (/ -1 i) 2 (/ -1 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 (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (+ 1.0 (* 3 (sqr (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)))) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)))) (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) (* (+ (* 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))) into (+ (* 4 (/ (* (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 4 (/ (* (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 (+ (* 4 (/ (* (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 4 (/ (* (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 (* 4 (/ (* (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 4 in alpha
* [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)))) (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* 4 (/ (* (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 alpha) (/ 1 i)))) (/ 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 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]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)) (* 4 (/ (* (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 (* 4 (/ (* (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 4 in alpha
* [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)))) (* 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 (* 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]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (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]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (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]taylor:  Taking taylor expansion of (* 4 (/ (* (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 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 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 (* 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]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 (+ (* 4 (/ (* (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)) (* 4 (/ (* (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)) (* 4 (/ (* (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 (* 4 (/ (* (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 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 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 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 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))) 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha 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))) (sqr 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 (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ 1 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ 1 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [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]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 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (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 (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (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 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 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 (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (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 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 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 (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (fma i 2 alpha) (sqr (- (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]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 (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 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 (+ (* (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)) 1.0)) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (sqr (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 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) 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 (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 (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [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 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 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (- (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (sqr (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 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) 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 (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 (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) in 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 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 (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (- (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (- (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 4 (/ (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 1 (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (sqr (* 1 (* 1 beta)))) (+ (* (- (* 2 (/ (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1 (* 1 beta))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (* 4 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (sqr beta) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* beta (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (- (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ 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 (/ 1 (- (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 (/ 1 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) into (/ 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 (/ 1 (- (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 (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (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 (/ 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]backup-simplify:  Simplify (+ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (* 2 (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 (- (+ (* 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 (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 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 (+ (* 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 (+ (* 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) (pow (* 1 (* 1 (/ 1 beta))) 4)) (+ (* (- (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) (pow (* 1 (* 1 (/ 1 beta))) 3)) (* 1 (sqr (* 1 (* 1 (/ 1 beta))))))) into (- (+ (/ 1 (sqr beta)) (+ (* 3 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (pow beta 4))) (* 1.0 (/ 1 (pow beta 4))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3))))
* [misc]approximate:  Taking taylor expansion of (/ 1 (- (sqr (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) 1.0)) in (beta i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (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 (/ 1 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ 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 (/ 1 (- (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 (/ 1 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ 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 (/ 1 (- (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 (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (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 (/ 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]backup-simplify:  Simplify (+ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 0) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ (- (* 2 (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 (- 0) into 0
* [misc]backup-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 (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 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 (+ 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 (+ 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))))) (pow (* 1 (* 1 (/ 1 (- beta)))) 4)) (+ (* (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (pow (* 1 (* 1 (/ 1 (- beta)))) 3)) (* 1 (sqr (* 1 (* 1 (/ 1 (- beta)))))))) into (- (+ (/ 1 (sqr beta)) (+ (* 1.0 (/ 1 (pow beta 4))) (* 3 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (pow beta 4))))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3))))
* [misc]approximate:  Taking taylor expansion of (/ i (+ beta (fma i 2 alpha))) in (i beta alpha) around 0
* [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 (/ 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 (/ 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 (/ 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 (/ 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]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 (/ 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 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 (+ 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]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]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 (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 (+ 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 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 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]taylor:  Taking taylor expansion of (/ 1 (pow (fma i 2 alpha) 3)) 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]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)) into (/ 1 (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (* (/ 1 (pow (fma i 2 alpha) 3)) (* 1 (* (sqr beta) i))) (+ (* (- (/ 1 (sqr (fma i 2 alpha)))) (* 1 (* beta 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) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) in (i beta alpha) around 0
* [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 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 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 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 (+ (/ 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 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 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 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 (- (+ (* 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]taylor:  Taking taylor expansion of (- (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))) 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 (/ 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 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 (- (+ (* 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]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))) (* 1 (* (pow (/ 1 beta) 3) (/ 1 (/ 1 i))))) (+ (* (- (fma (/ 1 i) 2 (/ 1 alpha))) (* 1 (* (sqr (/ 1 beta)) (/ 1 (/ 1 i))))) (* 1 (* 1 (* (/ 1 beta) (/ 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)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (i beta alpha) around 0
* [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 (- 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 (- 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 (- 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 (- (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]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) 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 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 (- (+ (* 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]taylor:  Taking taylor expansion of (fma (/ -1 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]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 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]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 (- (+ (* 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]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))) (* 1 (* (pow (/ 1 (- beta)) 3) (/ 1 (/ 1 (- i)))))) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* 1 (* (sqr (/ 1 (- beta))) (/ 1 (/ 1 (- i)))))) (* 1 (* 1 (* (/ 1 (- beta)) (/ 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 2 of 9
* [misc]approximate:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 (/ (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 (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (fma i 2 alpha) in beta
* [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 (/ (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 (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 (/ (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 (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 (/ (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)) (sqr (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 (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 (* (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)) (sqr (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 (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 (/ (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 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 (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) 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 (+ (* (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 (fma i 2 alpha))) (/ 0 (sqr (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 (sqr (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) 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 (sqr (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))) (* 0 (/ 0 (sqr (fma i 2 alpha)))))) 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 (+ (* (fma i 2 alpha) 0) (+ (* 0 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 (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))) (* 0 (/ 0 (sqr (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 (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (* (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) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (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)) 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 (/ (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]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (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 (/ 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 (* (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]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (* (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) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (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) 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 (/ (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]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (* (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) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (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) 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 (/ (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]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 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 (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 (* (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]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]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)))) 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) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (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]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) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (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]backup-simplify:  Simplify 0 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 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 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 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (sqr (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]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) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (sqr (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]backup-simplify:  Simplify 0 into 0
* [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]approximate:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (* (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)) (/ 1 (- alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (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))) 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 (/ (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (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 (/ 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 (* (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (* (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)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (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)) 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 (/ (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (* (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)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (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)) 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 (/ (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 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)))) 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))) 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 (* (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 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)))) 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))) 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 (/ (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 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) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (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]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) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (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]backup-simplify:  Simplify 0 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 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 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 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 0 (/ 0 (sqr (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]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) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 0 (/ 0 (sqr (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]backup-simplify:  Simplify 0 into 0
* [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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 (/ (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 (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (fma i 2 alpha) in beta
* [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 (/ (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 (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 (/ (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 (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 (/ (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)) (sqr (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 (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 (* (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)) (sqr (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 (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 (/ (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 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 (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) 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 (+ (* (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 (fma i 2 alpha))) (/ 0 (sqr (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 (sqr (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) 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 (sqr (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))) (* 0 (/ 0 (sqr (fma i 2 alpha)))))) 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 (+ (* (fma i 2 alpha) 0) (+ (* 0 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 (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))) (* 0 (/ 0 (sqr (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 (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (* (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) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (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)) 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 (/ (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]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (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 (/ 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 (* (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]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (* (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) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (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) 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 (/ (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]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (* (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) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (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) 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 (/ (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]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 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 (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 (* (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]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]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)))) 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) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (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]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) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (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]backup-simplify:  Simplify 0 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 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 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 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (sqr (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]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) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (sqr (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]backup-simplify:  Simplify 0 into 0
* [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]approximate:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (* (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)) (/ 1 (- alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (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))) 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 (/ (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (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 (/ 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 (* (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (* (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)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (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)) 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 (/ (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (* (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)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (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)) 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 (/ (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 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)))) 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))) 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 (* (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 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)))) 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))) 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 (/ (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 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) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (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]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) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (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]backup-simplify:  Simplify 0 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 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 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 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 0 (/ 0 (sqr (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]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) 2 (/ -1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 0 (/ 0 (sqr (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]backup-simplify:  Simplify 0 into 0
* [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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) in (i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 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 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 (/ i (- (sqr (fma i 2 alpha)) 1.0)) into (/ i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 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 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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]taylor:  Taking taylor expansion of (/ i (- (* (fma i 2 alpha) (fma i 2 alpha)) 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 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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]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 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 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 (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 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 (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 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 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 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify 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]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 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 (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (* 1 i)) into (/ i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 i) (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) in (i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) 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)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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)) 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 (- 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 i) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) i))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) 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)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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) 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 (- 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 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 i) (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) 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)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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) 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 (- 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 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 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 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 (- 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 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 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]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 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 (/ 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]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))))) 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 (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 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]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 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 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))))) 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 (+ (* (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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 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 (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (* 1 (/ 1 (/ 1 i)))) into (/ i (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))
* [misc]approximate:  Taking taylor expansion of (/ (/ 1 (- i)) (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0)) in (i alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0)) 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))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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))) 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 (- 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 i) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) into (/ -1 (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) i))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0)) 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))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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)) 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 (- 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 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) into (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- i)) (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0)) 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))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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)) 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 (- 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 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) into (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 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 (/ -1 i) 2 (/ -1 alpha))) 1.0) 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 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 (- 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 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) into (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))
* [misc]backup-simplify:  Simplify (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) into (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 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 (+ (* (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]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (* (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 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 (/ -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]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (* (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))))) 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 (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 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]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (* (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 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 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (* (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))))) 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 (+ (* (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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (* (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 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 (* (/ -1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (* 1 (/ 1 (/ 1 (- i))))) into (/ i (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))
* [misc]approximate:  Taking taylor expansion of (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) in (alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) 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 (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 (* alpha 0) into 0
* [misc]backup-simplify:  Simplify (+ (* alpha 1) (* 0 0)) into 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 (- (sqr (fma i 2 alpha)) 1.0)) into (/ alpha (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) 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) (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 (+ (* 0 0) (* 1 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 (- 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 (/ i (- (sqr (fma i 2 alpha)) 1.0)) into (/ i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) 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) (fma i 2 alpha)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 (+ (* 0 0) (* 1 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 (- 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 (/ i (- (sqr (fma i 2 alpha)) 1.0)) into (/ i (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ i (- (sqr (fma i 2 alpha)) 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 (- (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 (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) into (/ 1 (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 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 (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ i (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (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 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 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (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 0) (* 0 i)))) 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ i (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (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 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 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (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 0) (+ (* 0 0) (* 0 i))))) 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]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ i (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (sqr (fma i 2 alpha)) 1.0))) (* 0 (/ 0 (- (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 (* (/ 1 (- (sqr (fma i 2 alpha)) 1.0)) (* i alpha)) into (/ (* alpha i) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 alpha) (/ 1 i)) (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) in (alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 alpha) (/ 1 i)) (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) 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 (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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) 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 alpha) 1) into (/ 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 (- 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 alpha) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 alpha) (/ 1 i)) (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) 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 (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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)) 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 i)) into (/ 1 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 (- 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 i) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 alpha) (/ 1 i)) (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) 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 (- (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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)) 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 i)) into (/ 1 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 (- 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 i) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) into (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) i))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) i) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 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 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking 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 (- 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) 0) 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]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1) (* 0 0)) into (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) into (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 (/ 1 i))) 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]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) i)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 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 (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 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]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))))) 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 (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 i)))) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) i)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 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 (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 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]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) 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 i))))) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (+ (* (/ 1 (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) i)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 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 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (* (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) into (/ (* alpha i) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))
* [misc]approximate:  Taking taylor expansion of (/ (* (/ 1 (- alpha)) (/ 1 (- i))) (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0)) in (alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- alpha)) (/ 1 (- i))) (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0)) 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 (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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)) 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 alpha) -1) into (/ 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 (- 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 alpha) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) into (/ 1 (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- alpha)) (/ 1 (- i))) (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0)) 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 (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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))) 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 i)) into (/ 1 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 (- 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 i) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) into (/ 1 (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (/ 1 (- alpha)) (/ 1 (- i))) (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0)) 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 (- (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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))) 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 i)) into (/ 1 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 (- 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 i) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) into (/ 1 (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) i))
* [misc]taylor:  Taking taylor expansion of (/ 1 (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) i)) in i
* [misc]taylor:  Taking taylor expansion of (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) i) in i
* [misc]taylor:  Taking taylor expansion of (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 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 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]taylor:  Taking 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 (- 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) 0) 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]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1) (* 0 0)) into (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) into (/ 1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))
* [misc]backup-simplify:  Simplify (/ 1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) into (/ 1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))
* [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 (+ (* -1 0) (* 0 (/ -1 i))) 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]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (* (/ 1 (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) i)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 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 (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 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]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))))) 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 (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 i)))) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (* (/ 1 (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) i)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 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 (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 0) (+ (* 0 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]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))))) 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 (- 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) into 0
* [misc]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 i))))) 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (+ (* (/ 1 (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) i)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 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 0 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) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))) (* 0 (/ 0 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (/ 1 (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (* (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) into (/ (* alpha i) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))
* * * [misc]progress:  tayloring alt 3 of 9
* [misc]approximate:  Taking taylor expansion of (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))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (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))) in alpha
* [misc]backup-simplify:  Simplify (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))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (/ (* (+ alpha i) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (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))) in beta
* [misc]backup-simplify:  Simplify (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))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (/ (* (+ alpha i) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (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))) in i
* [misc]backup-simplify:  Simplify (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))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (/ (* (+ alpha i) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (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))) in i
* [misc]backup-simplify:  Simplify (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))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (/ (* (+ alpha i) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (/ (* (+ alpha i) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (/ (* (+ alpha i) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i 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))) (sqr beta)) (/ i 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))) (sqr beta)) (/ i 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (/ (* (+ alpha i) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (/ (* (+ alpha i) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i 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 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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (/ (* (+ alpha i) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (* (/ 1 beta) (/ 1 beta))) (/ (/ 1 i) (/ 1 beta)) (* (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 alpha) (/ 1 i)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (* (/ 1 beta) (/ 1 beta))) (/ (/ 1 i) (/ 1 beta)) (* (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 alpha) (/ 1 i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (* (/ 1 beta) (/ 1 beta))) (/ (/ 1 i) (/ 1 beta)) (* (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 alpha) (/ 1 i)))) into (fma (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 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 (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (* (/ 1 beta) (/ 1 beta))) (/ (/ 1 i) (/ 1 beta)) (* (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 alpha) (/ 1 i)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (* (/ 1 beta) (/ 1 beta))) (/ (/ 1 i) (/ 1 beta)) (* (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 alpha) (/ 1 i)))) into (fma (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 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 (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (* (/ 1 beta) (/ 1 beta))) (/ (/ 1 i) (/ 1 beta)) (* (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 alpha) (/ 1 i)))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (* (/ 1 beta) (/ 1 beta))) (/ (/ 1 i) (/ 1 beta)) (* (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 alpha) (/ 1 i)))) into (fma (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 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 (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (* (/ 1 beta) (/ 1 beta))) (/ (/ 1 i) (/ 1 beta)) (* (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 alpha) (/ 1 i)))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (* (/ 1 beta) (/ 1 beta))) (/ (/ 1 i) (/ 1 beta)) (* (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) (+ (/ 1 alpha) (/ 1 i)))) into (fma (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 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 (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 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 (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ beta i) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i)) into (fma (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 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 (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 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 (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ beta i) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i)) into (fma (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ beta i) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (fma (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ beta i) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i)) into (fma (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ beta i) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i))
* [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 (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ beta i) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 alpha) (/ 1 i)))) i)) into (fma (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ beta i) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]approximate:  Taking taylor expansion of (fma (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (/ 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 (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (/ 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 (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (/ 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 (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) (/ (/ 1 (- i)) (/ 1 (- beta))) (* (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) into (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (/ 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)) (sqr beta)) (/ 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)) (sqr beta)) (/ 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)) (sqr beta)) (/ 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)) (sqr beta)) (/ 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)) (sqr beta)) (/ 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)) (sqr beta)) (/ beta i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]backup-simplify:  Simplify (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (/ 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)) (sqr beta)) (/ beta i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i)))) i))
* [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 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (/ 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)) (sqr beta)) (/ beta i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) i))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) 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 alpha) (/ 1 i)))) (/ 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 alpha) (/ 1 i)))) (/ 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 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) 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 (/ (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 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 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) 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 alpha) (/ 1 i)))) (/ 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 alpha) (/ 1 i)))) (/ 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 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) 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 alpha) (/ 1 i)))) (/ 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 alpha) (/ 1 i)))) (/ 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (pow beta 4) in beta
* [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))) 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 alpha) (/ 1 i)))) (/ 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 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]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 (/ (* (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 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]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 (/ (+ (* 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 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]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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* 1 (* (pow beta -4) i))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (pow beta 4))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) 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)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in 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 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 (/ (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 (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ i (pow beta 4))) into (/ (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 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 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 (/ (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 (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ i (pow beta 4))) into (/ (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 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 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 (/ (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 (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ 1 (pow beta 4))) into (* (pow beta 4) (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)))) (/ (pow (/ 1 beta) 4) (/ 1 i))) in i
* [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 (/ (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 (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ 1 (pow beta 4))) into (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [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 (- (+ (* (/ 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))) (+ (* (* (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 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 (- (+ (* (/ 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))) (+ (* (* (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 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]backup-simplify:  Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 beta) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 beta) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 beta) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ 1 beta)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (/ 1 (pow beta 4)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 (pow beta 4))) (+ (* (* (pow beta 4) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 (/ 1 (pow beta 4)))) (* 0 (/ 0 (/ 1 (pow beta 4)))) (* 0 (/ 0 (/ 1 (pow beta 4)))))) 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 into 0
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) 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))))) (/ (pow (/ 1 (- beta)) 4) (/ 1 (- i)))) in 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 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 (/ (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 i (+ beta (+ alpha i)) (* beta alpha)) (* -1 (/ i (pow beta 4)))) into (* -1 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)) i))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 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 (- 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 (/ (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 i (+ beta (+ alpha i)) (* beta alpha)) (* -1 (* (exp (* 4 (- (log -1) (log beta)))) i))) into (* -1 (/ (fma 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 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 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 (- 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 (/ (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 i (+ beta (+ alpha i)) (* beta alpha)) (/ -1 (pow beta 4))) into (* -1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 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 (- 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 (/ (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 i (+ beta (+ alpha i)) (* beta alpha)) (/ -1 (pow beta 4))) into (* -1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4)))
* [misc]taylor:  Taking taylor expansion of (* -1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))) 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 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 (- 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 (* (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 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) 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 (* (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 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]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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ -1 beta) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ -1 beta) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ -1 beta) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ -1 beta)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 4 (log (/ -1 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 (- 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 -1) (+ (* (/ -1 (pow beta 4)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ -1 (pow beta 4))) (+ (* (* -1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow beta 4))) (/ 0 (/ -1 (pow beta 4)))) (* 0 (/ 0 (/ -1 (pow beta 4)))) (* 0 (/ 0 (/ -1 (pow beta 4)))))) 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 into 0
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta)) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* beta 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 beta in alpha
* [misc]backup-simplify:  Simplify beta into beta
* [misc]backup-simplify:  Simplify (* beta beta) into (sqr beta)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta 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 (* 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 (/ (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))) (* beta 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))
* [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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr 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 (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 (/ -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))) 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) into (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 beta)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)))) 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 (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 (- (/ 0 1) (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr beta)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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]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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (* 1 (* (/ 1 beta) 1)))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 i)) (- (+ (+ (/ 1 (/ 1 beta)) (/ 1 (/ 1 alpha))) (/ 1 (/ 1 i)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) (* (/ 1 beta) (/ 1 beta))) 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)))) (* (/ 1 beta) (/ 1 beta))) in 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 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 (* (/ 1 beta) (/ 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 (/ 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) (/ 1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ 1 (sqr beta))) into (* (sqr beta) (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)))) (* (/ 1 beta) (/ 1 beta))) in beta
* [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 (* (/ 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 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 1) 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)))) (* (/ 1 beta) (/ 1 beta))) in i
* [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 (* (/ 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 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ 1 (sqr beta))) into (* (sqr beta) (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)))) (* (/ 1 beta) (/ 1 beta))) in i
* [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 (* (/ 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 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ 1 (sqr beta))) into (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [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]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 (+ (* 0 0) (+ (* 0 0) (* 1 (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]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) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 0 (/ 1 (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 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 (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 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 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) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 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]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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr (* 1 (* (/ 1 beta) 1)))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr beta))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) 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))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) in 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 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 (* (/ 1 (- beta)) (/ 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 (/ 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 beta) (/ -1 beta)) into (/ 1 (sqr beta))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 (sqr beta))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) in beta
* [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 (* (/ 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) 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))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) in i
* [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 (* (/ 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 (sqr beta))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ -1 (/ 1 (- i))) (- (+ (+ (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- alpha)))) (/ 1 (/ 1 (- i))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) (* (/ 1 (- beta)) (/ 1 (- beta)))) in i
* [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 (* (/ 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ 1 (sqr beta))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr 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]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 (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) (+ (* 0 0) (* 0 0))) 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]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))) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (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]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 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]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 (- 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))) (+ (* (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (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]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 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 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)) (sqr (* 1 (* (/ 1 (- beta)) 1)))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (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]progress:  tayloring alt 4 of 9
* [misc]approximate:  Taking taylor expansion of (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 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 (/ 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 (+ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 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 (/ 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 (+ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 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 (/ 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 (/ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 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 (/ 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 (/ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (* (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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]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 (/ 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 (* i (* (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))
* [misc]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr (fma i 2 alpha))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr (fma i 2 alpha))) 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 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) (+ (* 0 0) (* 0 0))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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 i 2 alpha)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) (sqr (fma i 2 alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma i 2 alpha)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) (sqr (fma i 2 alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow (fma i 2 alpha) 3)))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow (fma i 2 alpha) 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 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]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 (/ 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 i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow (fma i 2 alpha) 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3)) 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]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 (/ 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 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow (fma i 2 alpha) 3)) in alpha
* [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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) 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) (* 0 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))) i) (pow (fma i 2 alpha) 3)) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))) 0) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3)))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3)))) into (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) (- (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))))) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) in 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3)) 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 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) (+ (* 0 0) (* 0 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))) (pow (fma i 2 alpha) 3)) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma i 2 alpha) 3))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha))) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (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 i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) in 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha))) (sqr (* i (* 1 1)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha))) (* i (* alpha 1))) (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma i 2 alpha))) (* i (* 1 beta))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 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)))) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* 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 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)) (/ 1 i)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (/ (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)))) into (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i))) 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]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]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]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 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]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (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 (/ 1 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (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) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 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]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) into (fma i (+ beta (+ alpha i)) (* beta 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)) 1) into (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha))))) into (- (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) alpha))) (/ 1 i)))) into (- (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (- (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (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 (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 i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (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 (/ 1 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (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 (/ 1 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)) 0) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 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 (/ 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 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]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 i (+ beta (+ alpha i)) (* beta alpha)) 1) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 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 (/ 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) 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]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma i (+ beta (+ alpha i)) (* 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 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]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta)))) (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (sqr (/ 1 beta))))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (* (/ 1 (/ 1 i)) (* 1 (/ 1 beta))))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr beta)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) beta) (/ (* (fma i (+ beta (+ alpha i)) (* 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 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))))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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)) (/ 1 i)) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) 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 i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha)))) into (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (/ 1 i))) into (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) 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 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) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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 i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) 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 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) (- (+ beta (+ alpha i))) (* beta alpha)) i) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in i
* [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 i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in i
* [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 i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (/ 1 i)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha)) in i
* [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 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) 0) into (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))) into (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in i
* [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 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) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha)) in i
* [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 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 0) 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]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta))))) (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (sqr (/ 1 (- beta)))))) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (- beta)))))))) into (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) beta) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (sqr beta)) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) (sqr beta))))
* [misc]approximate:  Taking taylor expansion of (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 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 (/ 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 (+ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ beta alpha)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ beta alpha)) (+ beta (fma i 2 alpha))) (/ 1 (+ beta (fma i 2 alpha)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 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 (/ 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 (+ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ beta i)) (+ beta (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (+ beta i)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 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 (/ 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 (/ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (* (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 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 (/ 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 (/ 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (/ (* (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (/ (* (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (/ i (fma i 2 alpha))) into (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (sqr (fma i 2 alpha))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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]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 (/ 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 (* i (* (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))
* [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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 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) (+ (* 0 0) (* 0 0))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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 i 2 alpha)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) (sqr (fma i 2 alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (/ (* (+ alpha i) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma i 2 alpha)) (- (/ i (sqr (fma i 2 alpha))))) (* (- (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma i 2 alpha)) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) alpha) (sqr (fma i 2 alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))))) (/ i (fma i 2 alpha)))) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr (fma i 2 alpha))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (pow (fma i 2 alpha) 3))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow (fma i 2 alpha) 3))))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (+ alpha i) (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 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]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 (/ 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 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) 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) (* 0 0)) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) 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) (* 0 0)) into (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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]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 (/ 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 (* (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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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]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 (/ 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 (* (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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (+ 0 (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) into (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))) into (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]backup-simplify:  Simplify (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (- (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))) into (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]taylor:  Taking taylor expansion of (- (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 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) (+ (* 0 0) (* 0 0))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 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) (+ (* 0 0) (* 0 0))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 0) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) (* 0 i)) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (* i 0) (* 1 (* (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 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in 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]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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 1) (* 0 0)) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (sqr (* i (* 1 1)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* alpha 1))) (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (* 1 beta))))) into (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) (/ (/ 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) (/ (/ 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) (/ (/ 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha))) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) (/ (/ 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* 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 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)) (/ 1 i)) into (/ (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) i) 1) into (/ (fma i (+ beta (+ alpha i)) (* 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) (/ (/ 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha))))) 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 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) into (fma i (+ beta (+ alpha i)) (* 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 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)) (/ 1 i)) into (/ (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) i) 1) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (/ (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)))) into (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 1 i))) into (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 1) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i))) 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]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]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]backup-simplify:  Simplify (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 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]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (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 (/ 1 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (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) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 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]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) 1) into (fma i (+ beta (+ alpha i)) (* beta 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)) 1) into (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha))))) into (- (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)) (+ (* (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) alpha) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i))) (* (- (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) alpha))) (/ 1 i)))) into (- (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* 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 (- (/ (- (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))))) 1) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 10 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 10 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)) (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (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 (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 i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) i)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma i (+ beta (+ alpha i)) (* 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 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i))) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (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 (/ 1 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (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 (/ 1 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)) 0) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ 0 (- (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 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 (/ 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) 0) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (- (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (+ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (- (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 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]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 i (+ beta (+ alpha i)) (* beta alpha)) 1) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 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 (/ 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 i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) 1) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) 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]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma i (+ beta (+ alpha i)) (* 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 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]backup-simplify:  Simplify (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (/ 1 (/ 1 i)) (* 1 (pow (/ 1 beta) 3)))) (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))))) into (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow beta 3)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow beta 4)) (/ (* (fma i (+ beta (+ alpha i)) (* 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (/ 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (/ 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* -1 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (/ 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* -1 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))
* [misc]backup-simplify:  Simplify (* (* -1 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (/ 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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)) (/ 1 i)) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha)) i) 1) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) (/ (/ 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))) (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha)))))) 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 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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)) (/ 1 i)) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha)) i) 1) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) 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 i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha)))) into (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (/ 1 i))) into (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)))) 1) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i))))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) 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 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) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta 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) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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 i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) 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 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) (- (+ beta (+ alpha i))) (* beta alpha)) i) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (+ 0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in i
* [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 i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) in i
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in i
* [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 i in i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))))) into (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)) (+ (* (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) alpha) (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) alpha) (+ (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))))) (/ 1 i)))) into (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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 (- (/ (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha i))) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i))))) 1) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha i))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i))) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (* 1.0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)))))
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha i))) (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i))) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (* 1.0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta 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) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (* alpha i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) i) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i))) (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (* 1.0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta 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) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* i i) into (sqr i)
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (+ (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) (* 1.0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 10 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) i) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)
* [misc]taylor:  Taking taylor expansion of (* 1.0 (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha)) i) 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 i in alpha
* [misc]backup-simplify:  Simplify i into i
* [misc]backup-simplify:  Simplify (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) into (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i)
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) 0) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha)) in i
* [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 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 i))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (/ 0 i)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)) 0) into (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))) into (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (+ (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) i))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) in i
* [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 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) (- (+ beta (+ alpha i))) (* beta alpha)) 1) into (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha))) i) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ beta (+ alpha i))) (* beta alpha)) in i
* [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 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) (- (+ beta (+ alpha i))) (* beta alpha))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) 1) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)))
* [misc]backup-simplify:  Simplify (+ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) 0) 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]backup-simplify:  Simplify (- (/ 0 i) (+ (* (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* 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) (- (+ 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]backup-simplify:  Simplify (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (/ 1 (/ 1 (- i))) (* 1 (pow (/ 1 (- beta)) 3)))) (+ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))))) into (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (pow beta 4)) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (pow beta 3)) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) (pow beta 4))))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) in (i beta alpha) around 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 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 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 (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) (+ (/ 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) (+ (/ 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 (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 (fma (/ 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 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) into (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 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 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 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 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 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 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 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 beta)) (+ (/ 1 (/ 1 i)) (/ 1 (/ 1 alpha)))) (/ 1 (* (/ 1 beta) (/ 1 alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 i)) (+ (/ 1 (/ 1 beta)) (+ (/ 1 (/ 1 i)) (/ 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 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 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 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 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 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 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 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 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 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 1 (/ 1 (- alpha))))) (/ 1 (* (/ 1 (- beta)) (/ 1 (- alpha))))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (/ 1 (- i))) (+ (/ 1 (/ 1 (- beta))) (+ (/ 1 (/ 1 (- i))) (/ 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]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 5 of 9
* [misc]approximate:  Taking taylor expansion of (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))) 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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt 0) into 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))) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (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 (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))) 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)))) (- (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]backup-simplify:  Simplify (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) (sqr (+ beta (fma i 2 alpha)))))) 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]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 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 i)) (+ beta (fma i 2 alpha))) 0) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- (+ (* 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]backup-simplify:  Simplify (/ (/ (* (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))))) (* 2 (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) (sqr (+ beta (fma i 2 alpha)))))))) into (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (+ beta i)))) (/ 1 (+ 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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (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 (+ 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]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)) (* 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)))))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (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 (+ 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]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)) (* 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)))))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (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)) (- (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)) 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 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) 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 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 (+ beta (+ alpha i)) (* beta alpha)) i) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (- (sqr (fma i 2 alpha)) 1.0)) (* 2 (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (- (sqr (fma i 2 alpha)) 1.0))))) into (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))
* [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)) (- (sqr (fma i 2 alpha)) 1.0))) i) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) 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 (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 (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (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 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) 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]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (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 (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha))))) 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]taylor:  Taking taylor expansion of (* (+ alpha i) (* 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 (* 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]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 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 (* i (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) into (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))
* [misc]backup-simplify:  Simplify (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) into (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))
* [misc]backup-simplify:  Simplify (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))) into (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 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 (+ (* i 0) (* 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))) 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 (- (/ 0 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (+ (* (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i))) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))))) into (- (* 1.0 (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (/ (sqr (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3))))
* [misc]backup-simplify:  Simplify (/ (- (* 1.0 (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (/ (sqr (fma i 2 alpha)) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (* 2 (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)))))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (* i (- (* 1.0 (/ 1 (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)))) (/ (sqr (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)) 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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha)) 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))) (+ (* 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)) (* (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)) (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)) (* (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)) (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)) (* (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)) (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)) (* alpha i)) (* (pow (fma i 2 alpha) 3) (- (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)) (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]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 (+ 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]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)))))) (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))) (+ (* 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)))))) (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (/ 1 i)) (* (- (/ (* (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)))))) (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))) (+ (* 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)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (/ (* (- (/ (* (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)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (* 1/2 (* (/ (* (- (/ (* (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)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (/ (* (- (/ (* (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)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* 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 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)))))) (fma i 2 alpha)) i) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))) 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))) (+ (* 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)))))) (fma i 2 alpha)) i) 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))) (+ (* 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)))))) (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)) (- (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]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 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)) (* (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))) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (/ (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) 1) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) in i
* [misc]taylor:  Taking taylor expansion of (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))) 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]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 (* (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) (fma i (+ beta (+ alpha i)) (* beta alpha))) into (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [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 (fma i (+ beta (+ alpha i)) (* beta alpha))) (+ (* (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ 0 (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (fma i 2 alpha) (- (sqr (fma i 2 alpha)) 1.0))) (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 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)) (- (sqr (fma i 2 alpha)) 1.0))) i) 0) (* (* 1/2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 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)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) 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 (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 (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) into (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (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 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (sqr (fma i 2 alpha)) 1.0))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) 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)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) into (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) into (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))) (* i (* 1 1))) (+ (* (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) (* 1 (* alpha 1))) (* (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha)))) (* 1 (* 1 beta))))) into (+ (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) (+ (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ alpha (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ beta (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)))) (/ (/ 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt (/ (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 (* (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 1 (+ (/ 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 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))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 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)))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 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) (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 (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)) (+ (* (/ (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))) (/ 0 (- (+ (/ 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))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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]backup-simplify:  Simplify (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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))))) (* 2 (sqrt (/ (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 (* 1/2 (* (sqrt (/ (- (+ (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 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)))) (* 2 (sqrt 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)))) (* 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta 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 (/ (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 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 (- (+ (* 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]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))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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 (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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 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)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (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 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 (+ (* +nan.0 (/ (sqr (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 alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta 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))) 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]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta 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 (/ (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 (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (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)))) into (* +nan.0 (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))) i)) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta 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 (/ (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 (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (* +nan.0 (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)))) into (* +nan.0 (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 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 (- (+ (* 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]backup-simplify:  Simplify (/ (- (- (+ (* 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))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr 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 (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))
* [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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr 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))) (* 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]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (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 (/ (* (sqr (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 (* (sqr (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 (sqr (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]taylor:  Taking taylor expansion of (fma (/ 1 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (sqr (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 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (* 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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (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 (+ 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 (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (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)) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr 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)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* +nan.0 (/ (sqr (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)) (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (+ (* +nan.0 (/ (sqr (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]backup-simplify:  Simplify (+ 0 (- (+ (* +nan.0 (/ (sqr (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 (- (+ (* +nan.0 (/ (sqr (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]backup-simplify:  Simplify (* +nan.0 (- (+ (* +nan.0 (/ (sqr (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 (* +nan.0 (+ (* +nan.0 (/ (sqr (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 (* +nan.0 (+ (* +nan.0 (/ (sqr (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 +nan.0 in i
* [misc]backup-simplify:  Simplify +nan.0 into +nan.0
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (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 (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (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) (* 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (+ 0 (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) 0) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 4 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 4)))) (+ (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta))))) (* (* +nan.0 (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 3)))))) into (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 4))))))))
* [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))))) (/ (/ 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt (/ (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))))) into (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (- 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 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 (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* (- (+ (/ (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)))) (/ -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))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 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 (+ 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 (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha))) (- (+ (/ 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))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (- (+ (/ 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 (- (+ (/ 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))) (* 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 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))) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (* 2 (sqrt (/ (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))))))) into (* 1/2 (* (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (- (+ (/ 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))) (sqrt (/ (- (+ (/ 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 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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (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))))) (* 2 (sqrt 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))) (* 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (/ (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 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 (- 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]backup-simplify:  Simplify (/ (- (+ (* 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))))) (sqr (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (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 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)) (+ (* 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))))) (* +nan.0 (/ (sqr (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 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)) (+ (* 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))))) (* +nan.0 (/ (sqr (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 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)) (+ (* 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 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)))) 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 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 (+ (* 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]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr 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 (+ 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 (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) 0) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 (/ (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 (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (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)))) into (* +nan.0 (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))) i)) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 (/ (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 (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (* +nan.0 (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)))) into (* +nan.0 (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 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 (- 0) into 0
* [misc]backup-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]backup-simplify:  Simplify (/ (- (+ (* 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)))))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (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 (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 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 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]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))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (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 (* 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))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (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 (* 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 (+ (* 3 (/ (* (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))) (* 7 (/ (* (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 (/ (* (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 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 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))) (* 7 (/ (* (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 (* 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))) (* 7 (/ (* (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 (* 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 (* 7 (/ (* (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 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 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 (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (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)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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)) (sqr (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)) (sqr (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 (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 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)) 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))) (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]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) (- (+ (/ 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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 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))) (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 alpha) (/ 1 i)))) (/ 1 (* beta 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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (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))))) (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))) (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (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 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]backup-simplify:  Simplify (+ 0 (* 4 (/ (* (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 (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (* +nan.0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (* +nan.0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (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 (- (* 4 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (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 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 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 (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* 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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* 4 (* (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 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (sqr (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 (+ (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) 0) into (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (* 4 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (* 0 (- (* +nan.0 (sqr (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))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (fma (/ -1 i) 2 (/ -1 alpha)) (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 alpha) (/ 1 i)))) (/ 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)))))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 4)))) (+ (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta)))))) (* (* +nan.0 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 3)))))) into (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)))) (- (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 (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)))) 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))) (/ i (+ beta (fma i 2 alpha)))) (- (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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt 0) into 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))) (* 2 (sqrt 0))) into (* +nan.0 (/ (* (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 (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)))) in alpha
* [misc]taylor:  Taking taylor expansion of (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))) 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)))) (- (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]backup-simplify:  Simplify (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) (sqr (+ beta (fma i 2 alpha)))))) 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]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 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 i)) (+ beta (fma i 2 alpha))) 0) (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (+ beta (fma i 2 alpha))) (/ i (+ beta (fma i 2 alpha))))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (+ beta (fma i 2 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) 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 (- (+ (* 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]backup-simplify:  Simplify (/ (/ (* (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))))) (* 2 (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) (sqr (+ beta (fma i 2 alpha)))))))) into (* 1/2 (* (sqrt (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) (+ beta i)))) (/ 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))) (/ i (+ beta (fma i 2 alpha)))) (- (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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (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 (+ 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]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)) (* 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)))))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (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))) (/ i (+ beta (fma i 2 alpha)))) (- (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))) (/ 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)))) (- (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]backup-simplify:  Simplify (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (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 (+ 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]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)) (* 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)))))))) (* 2 (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (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 (+ (* (* (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 (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))))) (* (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (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))) (+ (* 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)) (* 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)) (* (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)) (* 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)) (* (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))) 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)) (* (pow (fma i 2 alpha) 3) (- (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)) (* (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)) (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]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)) (* (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)) (* 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)) (* (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)) (* 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)) (* (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]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 (* 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 (+ 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)))))
* [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)))))) 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)))) (* 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 (- (+ (* 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 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 (+ 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 (+ 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)) (/ i (pow (fma i 2 alpha) 3))) (+ (* (- (/ (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 (sqr (fma i 2 alpha))))) (* (- (+ (/ (* (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 (fma i 2 alpha))))) into (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (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 (- (/ (- (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (fma i 2 alpha) 4))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (fma i 2 alpha) 4)))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta 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))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (/ (* (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)))))))) (/ (* 2 (fma i 2 alpha)) (- (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)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha 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]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)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha 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)))))) (sqr (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))))) (+)) (* 2 (* (sqrt (/ (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)) (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (fma i 2 alpha))))) into (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 0.25 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (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)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow i 3) (sqr (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha 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)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* (sqr i) (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 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))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) (* i (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))) (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 (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 0.25 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (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)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow i 3) (sqr (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha 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)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* (sqr i) (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 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))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) (* i (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))) (fma i 2 alpha))))) (+ (* (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* i (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (* (- (/ (* (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)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0)))))))) (fma i 2 alpha))))) (* (* 1/2 (* (sqrt (/ (- (sqr (fma i 2 alpha)) 1.0) (* (+ alpha i) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i)))) (* (- (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 0.25 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (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)))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* i (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 4) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 4.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr i) (fma i 2 alpha))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (* 2.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (+ alpha i) (* (pow (fma i 2 alpha) 3) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow i 3) (sqr (fma i 2 alpha)))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (sqr i))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha 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)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha (* (sqr i) (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4)))) (+ (* 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))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) (* i (sqr (fma i 2 alpha))))) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 4))) (+ (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (pow i 3)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (* 1/4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (* (+ alpha i) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (+ (* 1.0 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (+ alpha i) (* (fma i 2 alpha) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))))) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 2 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (sqr alpha) i)) (* (+ alpha i) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))))))))))))))))))) (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 (- (+ (* 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)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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)))))))))) (+ (* 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 (- (+ (* 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)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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)))))))))) (+ (* 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 alpha
* [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)))) (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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)))))))))) in alpha
* [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 alpha
* [misc]taylor:  Taking taylor expansion of 4 in alpha
* [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 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 (+ (* 3 (/ (* (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)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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))))))))) in alpha
* [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 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)) (* (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 (+ (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (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 4 in alpha
* [misc]backup-simplify:  Simplify 4 into 4
* [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 (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (+ (* 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))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (/ (* (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 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)) (* (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 (/ (* (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)))))) 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))))) 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 (+ (* 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 alpha
* [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]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]backup-simplify:  Simplify (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (* 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)) (* (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))))) 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 (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) 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 (+ 0 (* 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 (+ 0 (* 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 (+ (* 3 (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (* (pow (fma i 2 alpha) 4) (- (sqr (fma i 2 alpha)) 1.0)))) (* 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))))) (* 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 (+ (* 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)) (* (sqr (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 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) (* (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)))) 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))))) (* 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 (- (+ (* 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 (+ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 0) (* 0 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 (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)) 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 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) 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)) (sqr i)) (* (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)) (sqr i)) (* (pow (fma i 2 alpha) 3) (- (sqr (fma i 2 alpha)) 1.0))))) into 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 (+ (* 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) 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)) (sqr i)) (* (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)) (sqr i)) (* (fma i 2 alpha) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))) into 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))))) 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 (+ 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 (+ (* 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 (+ 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 (- (+ (* 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 (- (+ (* 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))))) (* 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 (+ (* (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 (+ (* (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 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 (+ (* (sqr (fma i 2 alpha)) 0) (+ (* 0 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 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)))) (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) 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 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)) (* (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)) (* (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 (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)))) (/ (/ 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 (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)))) (/ (/ 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt (/ (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 (* (sqrt (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0))) (/ 1 (+ (/ 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 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))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) 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)))))) (/ 1 (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 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) (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 (- (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)) (+ (* (/ (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))) (/ 0 (- (+ (/ 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))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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]backup-simplify:  Simplify (/ (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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))))) (* 2 (sqrt (/ (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 (* 1/2 (* (sqrt (/ (- (+ (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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 (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)))) (/ (/ 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 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)))) (* 2 (sqrt 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)))) (* 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)))) (/ (/ 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 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)))) (/ (/ 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 (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)))) (/ (/ 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))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) 0)) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [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 (- (+ (* 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]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))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (sqr (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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)))))) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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))))) 0))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (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) (+ (/ 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr 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)) (* 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]backup-simplify:  Simplify (/ (- (- (+ (* 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))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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))) i)) (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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)))))) (+ (* (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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))))) (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))) 0)))) into (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqr (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 (/ (* (sqr (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 (* (sqr (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 (sqr (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]taylor:  Taking taylor expansion of (fma (/ 1 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (* 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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [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 (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) 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 i) (/ 0 1)) (* (- (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ 0 1)) (* (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) 2 (/ 1 alpha)) 1)))) into (- (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) i))
* [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))) (- (/ (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3) 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)))) (/ (sqr (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))) (- (/ (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)))) 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))) (/ 1 i))))) into (- (+ (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)))
* [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 (+ (* 1 0) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 (fma (/ 1 i) 2 (/ 1 alpha))) (* 0 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 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)))) (sqr i))) (* 3 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))) (* 4 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i))) 1) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (/ 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))) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (+ (* 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))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))))) (+ (* 6.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* 20 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i))))
* [misc]backup-simplify:  Simplify (/ (- (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i)))))) (+ (* 6.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i)) (* 20 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)))) (sqr (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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)))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)))))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* 20 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)) (* 6.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)))))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* 20 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)) (* 6.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)))))))))))))))))))))))))) (+ (* (* +nan.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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))) (sqr i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i))) (+ (* +nan.0 (/ (sqr (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))))) (* +nan.0 (- (+ (/ (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))) (+ (* +nan.0 (/ (sqr (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)))))) (+ (* (* +nan.0 (- (+ (* 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))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* 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)))) (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i))) (- (* +nan.0 (/ (sqr (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))) i))) (* (* +nan.0 (- (+ (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (+ (* 10 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* alpha i))) (* 1.0 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)))))) (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* 20 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (pow (fma (/ 1 i) 2 (/ 1 alpha)) 3)) i)) (* 6.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))))))))))))))))))))))))) 0))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))))))))))))))))))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (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 (/ (* (sqr (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 (* (sqr (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 (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (sqr i)) into (/ (* (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (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 (/ (* (sqr (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 (* (sqr (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 (sqr (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]taylor:  Taking taylor expansion of (fma (/ 1 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) into (/ (* (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (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 (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 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]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 (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3)) into (/ (* (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (fma (/ 1 i) 2 (/ 1 alpha))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta 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 (/ 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4)
* [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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 4) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (* (sqr (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 (/ (* (sqr (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 (* (sqr (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 (sqr (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]taylor:  Taking taylor expansion of (fma (/ 1 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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (sqr (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 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (fma (/ 1 i) 2 (/ 1 alpha))) (sqr i)) into (/ (* (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* 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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))) (- (* +nan.0 (/ (sqr (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 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 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3)
* [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 (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4)) into (/ (pow (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) 3) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) 0) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (sqr (* (/ 1 (/ 1 i)) (* 1 (sqr (/ 1 beta)))))) (+ (* (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (* (/ 1 (sqr (/ 1 i))) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 5)))) (* (- (* +nan.0 (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) (sqr (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (pow (/ 1 beta) 3))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))))))))
* [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))))) (/ (/ 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 (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))))) (/ (/ 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt (/ (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))))) into (* (/ 1 (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (sqrt (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (- 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 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 (+ (* (* -1 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) 0) (* (- (+ (/ (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)))) (/ -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))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 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 (+ 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 (- (/ (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) beta)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) alpha))) (- (+ (/ 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))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))) (/ 0 (- (+ (/ 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 (- (+ (/ 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))) (* 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 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))) (* alpha (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0)))))) (* 2 (sqrt (/ (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))))))) into (* 1/2 (* (* (+ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* beta (- (+ (/ 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* alpha (- (+ (/ 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))) (sqrt (/ (- (+ (/ 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [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))))) (/ (/ 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (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))))) (* 2 (sqrt 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))) (* 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))))) (/ (/ 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 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))))) (/ (/ 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 (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))))) (/ (/ 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)))))) (- (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]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (* 2 (sqrt 0))) into (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))
* [misc]backup-simplify:  Simplify (* 0 0) into 0
* [misc]taylor:  Taking taylor expansion of 0 in alpha
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) 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 (- 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]backup-simplify:  Simplify (/ (- (+ (* 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))))) (sqr (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) 0))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr 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 (- 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]backup-simplify:  Simplify (/ (- (+ (* 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)))))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))))))) (* 2 0)) into (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))))))))))))))) (+ (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))) (+ (* (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))))) 0)))) into (- (+ (* +nan.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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta 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 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)) 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))) (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]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) (- (+ (/ 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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 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))) (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 alpha) (/ 1 i)))) (/ 1 (* beta 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) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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)) (sqr (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)) (sqr (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 (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (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 (/ (* (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))))) (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))) (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (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 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))
* [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 (- 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) into 0
* [misc]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 i) (/ 0 -1)) (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) i) (/ 0 -1)) (* (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) 2 (/ -1 alpha)) -1)))) into (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) 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 (+ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (/ (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) 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))) (/ (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)))) 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))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (* (+ (/ (* (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))) (/ 1 i))))) into (+ (* 4 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (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)))) (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 0) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (+ (* 0 (fma (/ -1 i) 2 (/ -1 alpha))) (* 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ (+ (* 4 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (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)))) (sqr i))))) 1) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i) (/ 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))))) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (+ (* 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)))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (+ (* 12 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 4.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 7 (/ (* (sqr (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)))) (sqr i))) (+ (* 8 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (* 2.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))))))
* [misc]backup-simplify:  Simplify (/ (- (+ (* 12 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr i))) (+ (* 4.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) (+ (* 7 (/ (* (sqr (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)))) (sqr i))) (+ (* 8 (/ (* (pow (fma (/ -1 i) 2 (/ -1 alpha)) 3) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) i)) (+ (* 1.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (* 2.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))) (sqr (* +nan.0 (- (+ (/ (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)) (+ (* 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))))) (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))))) (+ (* 2 (* (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i)) (* +nan.0 (- (+ (* 1.0 (/ (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)))) (sqr i))) (+ (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 3 (/ (* (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))) (* 7 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i)))))))) (+ (* +nan.0 (/ (sqr (fma (/ -1 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3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.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))))) (pow i 3))) (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i)))))))))))))) (* +nan.0 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i))) (* (* +nan.0 (- (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha i))) (+ (* 2.0 (/ (* (fma (/ -1 i) 2 (/ 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(* 4.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) i))))))))))) (+ (* +nan.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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (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 i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* alpha (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (* +nan.0 (/ (* (sqr (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 i 4))))))))))))))))))))))))))))))))))))))))))))))))))) 0))))) into (- (+ (* +nan.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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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) 2 (/ -1 alpha)) (* (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)) 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))) (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]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) (- (+ (/ 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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)) (* (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 i 3)) 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) into (/ (sqr (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) 2 (/ -1 alpha)) (* (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 i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta 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 i) (/ 1 alpha)))) (/ 1 (* beta 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 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)) 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))) (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]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 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 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))) (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 (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (* (sqr (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 i 3))) (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (* (sqr (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 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)) (* (sqr (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 i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (sqr (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)) 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 (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) (- (+ (/ 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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))))))))))))))))))))))))))))))))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (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 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (/ -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 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 4 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4)
* [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 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4))) (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 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 alpha) (/ 1 i)))) (/ 1 (* beta 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 (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4)
* [misc]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 4) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 4) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.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))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (* 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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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 (* (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 (sqr (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))) (sqr (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]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 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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 alpha) (/ 1 i)))) (/ 1 (* beta 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 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))) 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))) (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]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))) (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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (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))) (* (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 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))) (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (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 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (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) (- (+ (/ 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]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 (* (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 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (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]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 (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 3)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (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))) (sqr (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))) (sqr (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 (sqr (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]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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i))
* [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))) (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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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 i) (/ 1 alpha)))) (/ 1 (* beta 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 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))) 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))) (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]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 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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (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))) (* (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 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))) (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 i) (/ 1 alpha)))) (/ 1 (* beta 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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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) 2 (/ -1 alpha)) (* (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)) 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))) (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]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) (- (+ (/ 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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 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 i) (/ 1 alpha)))) (/ 1 (* beta 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 alpha) (/ 1 i)))) (/ 1 (* beta 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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta 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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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) (- (+ (/ 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]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 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 (* i i) into (sqr i)
* [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)))) (sqr i)) 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)))) (sqr i))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (sqr (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)) (sqr (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)) (sqr (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 (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 (* 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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta 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 i) (/ 1 alpha)))) (/ 1 (* beta 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 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)) 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))) (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]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 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 (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (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)) (* (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 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))) (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 i) (/ 1 alpha)))) (/ 1 (* beta 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) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (pow i 3))) (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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))) (sqr (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) 2 (/ -1 alpha)) (* (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)))))) (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))) (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3)))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (pow i 3))) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 3)) into (/ (sqr (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)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))) (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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)) (sqr (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)) (sqr (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)) (sqr (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 (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqr (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 i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (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 (/ (* (sqr (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 i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (sqr (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) (- (+ (/ 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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (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]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))) (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (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)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) in alpha
* [misc]taylor:  Taking taylor expansion of (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 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 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 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (exp (* 3 (log (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)
* [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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3)) (pow i 3)) into (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3)) (pow i 3))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.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))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (pow i 4))) (- (+ (* +nan.0 (/ (sqr (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 (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 (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (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 (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (sqr (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]backup-simplify:  Simplify (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) 3) (pow i 4)) into (/ (pow (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) 3) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (/ (sqr (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 (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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) (- (+ (/ 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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4)) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (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]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))) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (pow i 4)) into (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow i 4))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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 (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))) (sqr (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))) (sqr (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 (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (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))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) (sqr i)) into (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (sqr i))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (+ (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))) 0) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (sqr (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) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (+ 0 (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]backup-simplify:  Simplify (- (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i))))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* 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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))) into (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)))) into (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i))))
* [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)))) in i
* [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (sqr (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 (/ (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (sqr i)) in i
* [misc]taylor:  Taking taylor expansion of (sqr (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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (* 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) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 1) into (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (sqr (* (/ 1 (/ 1 (- i))) (* 1 (sqr (/ 1 (- beta))))))) (+ (* (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) (* (/ 1 (sqr (/ 1 (- i)))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 5)))) (* (- (* +nan.0 (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) (sqr (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (pow (/ 1 (- beta)) 3))))))) into (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) (pow beta 6))))))))
* * * [misc]progress:  tayloring alt 6 of 9
* [misc]approximate:  Taking taylor expansion of (/ (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)) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (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)) in alpha
* [misc]taylor:  Taking taylor expansion of (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)))) in alpha
* [misc]backup-simplify:  Simplify (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)))) into (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma i 2 alpha) beta)) 1.0) in alpha
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma i 2 alpha) beta)) in alpha
* [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]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) beta) 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (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 (/ (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)) in beta
* [misc]taylor:  Taking taylor expansion of (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)))) in beta
* [misc]backup-simplify:  Simplify (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)))) into (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma i 2 alpha) beta)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma i 2 alpha) beta)) in beta
* [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]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) 0) 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 (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)) into (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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]taylor:  Taking taylor expansion of (/ (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)) in i
* [misc]taylor:  Taking taylor expansion of (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)))) in i
* [misc]backup-simplify:  Simplify (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)))) into (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma i 2 alpha) beta)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma i 2 alpha) beta)) in i
* [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]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) beta) 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (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 (/ (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)) in i
* [misc]taylor:  Taking taylor expansion of (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)))) in i
* [misc]backup-simplify:  Simplify (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)))) into (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma i 2 alpha) beta)) 1.0) in i
* [misc]taylor:  Taking taylor expansion of (sqr (+ (fma i 2 alpha) beta)) in i
* [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]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) beta) 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (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 (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) into (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (* beta (fma i 2 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of 2 in beta
* [misc]backup-simplify:  Simplify 2 into 2
* [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 (fma i 2 alpha)) (sqr beta)) in beta
* [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) in beta
* [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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (* 0 (fma i 2 alpha)) into 0
* [misc]backup-simplify:  Simplify (* 2 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 (* 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (sqr (fma i 2 alpha)) 0) 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 (- 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)) into (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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]taylor:  Taking taylor expansion of (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) into (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)) into (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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]backup-simplify:  Simplify (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)) into (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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]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 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (+ (* (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (/ 0 (- (+ (* 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 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 0) (* 1 (fma i 2 alpha))) into (fma i 2 alpha)
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) (* 0 0)) into (* 2 (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 1) (* 1 0)) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 (fma i 2 alpha)) 0) 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 (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) into (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) into (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (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 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (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 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)) (/ 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 (+ (* (+ beta (fma i 2 alpha)) 0) (+ (* 0 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 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (+ (* (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) (/ 0 (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0))) (* 0 (/ 0 (- (+ (* 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 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 0) (+ (* 1 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 (fma i 2 alpha)) (* 0 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 0) (+ (* 1 1) (* 0 0))) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (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 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) into (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (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]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 (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) into (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) into (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (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 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 (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (- (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (- (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (* 4 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 4 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (sqr (* 1 (* beta 1)))) (+ (* (- (* 2 (/ (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1 (* beta 1))) (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)))) into (- (+ (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)) (* 4 (/ (* (sqr beta) (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (/ (* (sqr beta) (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* beta (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) (- (sqr (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) 1.0)) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) (- (sqr (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 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 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) (- (sqr (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (* 1 1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) 1) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) (- (sqr (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 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 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 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 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) (- (sqr (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (/ 1 i) (/ 1 alpha))) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 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 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 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 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 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 beta
* [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 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 (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) 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 (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) 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)) 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 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)) 1) 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 0) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) 1) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 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) (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 (- (+ (/ 1 (sqr beta)) (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta)))) 1.0)) (+ (* (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)) (/ 0 (- (+ (/ 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 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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ 0 (* 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))) 0) into (* 2 (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (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 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 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 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha))) into (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha)))) into (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (- (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 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)) (+ (* (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* 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)) (/ 0 (- (+ (/ 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)))) 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 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 (* (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 1) (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 0) 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 (- 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 (- (/ 0 1) (+ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (+ (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* 4 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* 4 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* 4 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (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 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [misc]taylor:  Taking taylor expansion of (* 4 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 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 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [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 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))
* [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 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) into (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 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 (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (* 4 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (* 4 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* 4 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* 4 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (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 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (- (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (- (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (+ (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* 4 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (- (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* 3 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* 3 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into (+ (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* 3 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 1.0 (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (* 3 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (pow (* 1 (* (/ 1 beta) 1)) 4)) (+ (* (- (* 2 (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha))))) (pow (* 1 (* (/ 1 beta) 1)) 3)) (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (* 1 (* (/ 1 beta) 1)))))) into (- (+ (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr beta)) (+ (* 3 (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (pow beta 4))) (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (pow beta 4))))) (* 2 (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow beta 3))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) (- (sqr (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) 1.0)) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) (- (sqr (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- 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]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 1.0 in alpha
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 (- 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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* 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 (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) (- (sqr (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) 1.0)) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- 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]taylor:  Taking 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 1.0 in beta
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 -1) into 1
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) 1) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) (- (sqr (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- 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]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 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 (- 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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* 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 (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) (- (sqr (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- beta)))) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) in i
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ (/ 1 (- i)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (- (sqr (+ (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (/ 1 (- 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]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 1.0 in i
* [misc]backup-simplify:  Simplify 1.0 into 1.0
* [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 (- 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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* 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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta 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 beta
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in 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 (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 (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0) in beta
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) 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)) 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 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)) 1) 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 0) into 1
* [misc]backup-simplify:  Simplify (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) 1) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta 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 (+ (* (- (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 (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (+ (* (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 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]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 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [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))) 0) 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 (+ 0 (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (* 2 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (fma (/ -1 i) 2 (/ -1 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (fma (/ -1 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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) (fma (/ -1 i) 2 (/ -1 alpha))) into (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (fma (/ -1 i) 2 (/ -1 alpha)))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))))) into (* 2 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (fma (/ -1 i) 2 (/ -1 alpha))))
* [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 (+ 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 (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 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))) (+ (* (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) (/ 0 (- (+ (/ 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)) 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 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 (* (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 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ 0 1.0) into 1.0
* [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 (- (/ 0 1) (+ (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (* 2 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (fma (/ -1 i) 2 (/ -1 alpha)))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))) (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))))) (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))) (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))))) (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))) (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* 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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta 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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta 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 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))
* [misc]taylor:  Taking taylor expansion of (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) into (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))
* [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 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))) into (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta 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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))))
* [misc]backup-simplify:  Simplify (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))))) into (* 4 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))) (* 4 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))))) (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta 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 (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) into (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (- (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) into (- (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))))) (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))))) (- (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))))) into (+ (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))) (* 3 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i))))) (* 3 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))))) into (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))))) (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))))) (* 1.0 (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))))) (pow (* 1 (* (/ 1 (- beta)) 1)) 4)) (+ (* (* 2 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (fma (/ -1 i) 2 (/ -1 alpha)))) (pow (* 1 (* (/ 1 (- beta)) 1)) 3)) (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) (sqr (* 1 (* (/ 1 (- beta)) 1)))))) into (- (+ (* 1.0 (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (pow beta 4))) (+ (* 3 (/ (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (pow beta 4))) (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr beta)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))) (pow beta 3))))
* [misc]approximate:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* 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 (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [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 (/ (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 (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* 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 (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* 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)) (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 i 2 alpha) in beta
* [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)) (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]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 (fma i 2 alpha)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ 0 (fma i 2 alpha))))) 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 i 2 alpha)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ 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 (- (/ 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 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))) (* 0 (/ 0 (fma i 2 alpha))))) 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 i 2 alpha)) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ 0 (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 (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) into (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 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) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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]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]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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 beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) 2 (/ 1 alpha)) into (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]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 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) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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]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]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 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) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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]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]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) 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 (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 (/ (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]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]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 (- (/ 0 (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 (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]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 (/ 1 i) 2 (/ 1 alpha))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ 1 i) 2 (/ 1 alpha))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 (fma (/ 1 i) 2 (/ 1 alpha)))) (* 0 (/ 0 (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]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 (/ 1 i) 2 (/ 1 alpha))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ 0 (fma (/ 1 i) 2 (/ 1 alpha)))) (* 0 (/ 0 (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]backup-simplify:  Simplify 0 into 0
* [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]approximate:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 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)) (/ 1 (- alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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 beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) into (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 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)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 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)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (/ -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 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))
* [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 (/ (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (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 (/ -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 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]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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 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 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ 0 (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]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 (/ -1 i) 2 (/ -1 alpha))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ 0 (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ 0 (fma (/ -1 i) 2 (/ -1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (fma (/ -1 i) 2 (/ -1 alpha))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ 0 (fma (/ -1 i) 2 (/ -1 alpha)))) (* 0 (/ 0 (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]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 (/ -1 i) 2 (/ -1 alpha))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ 0 (fma (/ -1 i) 2 (/ -1 alpha)))) (* 0 (/ 0 (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]backup-simplify:  Simplify 0 into 0
* [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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]approximate:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in alpha
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 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 i in alpha
* [misc]backup-simplify:  Simplify 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 (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* beta i)) into (/ (sqr (fma i 2 alpha)) (* beta i))
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ (sqr (fma i 2 alpha)) (* beta i))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i))) in beta
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in beta
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 i) in beta
* [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 i in beta
* [misc]backup-simplify:  Simplify 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 (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) i) into (/ (sqr (fma i 2 alpha)) i)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ (sqr (fma i 2 alpha)) i)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 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]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) beta) into (/ (sqr (fma i 2 alpha)) beta)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ (sqr (fma i 2 alpha)) beta)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i))) in i
* [misc]taylor:  Taking taylor expansion of (fma i (+ beta (+ i alpha)) (* beta alpha)) in i
* [misc]backup-simplify:  Simplify (fma i (+ beta (+ i alpha)) (* beta alpha)) into (fma i (+ beta (+ alpha i)) (* beta alpha))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 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]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) beta) into (/ (sqr (fma i 2 alpha)) beta)
* [misc]backup-simplify:  Simplify (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ (sqr (fma i 2 alpha)) beta)) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (fma i 2 alpha)))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (fma i 2 alpha))) 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 (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 (* (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)) (sqr (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 (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 (/ (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 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (sqr (fma i 2 alpha)) beta) (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (sqr (fma i 2 alpha)) beta)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (fma i 2 alpha))) (/ 0 (/ (sqr (fma i 2 alpha)) 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 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 (sqr (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (/ 0 (sqr (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 (sqr (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))))) 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 (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (sqr (fma i 2 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ (sqr (fma i 2 alpha)) beta)) (+ (* (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) beta) (sqr (fma i 2 alpha))) (/ 0 (/ (sqr (fma i 2 alpha)) beta))) (* 0 (/ 0 (/ (sqr (fma i 2 alpha)) 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 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)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 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 (sqr (fma i 2 alpha))) (+ (* (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (/ 0 (sqr (fma i 2 alpha)))) (* 0 (/ 0 (sqr (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 (+ beta (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha))) (* 1 (* beta i))) into (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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)) 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) (/ 1 i)) 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) 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 (* (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 beta) (/ 1 i)) into (/ 1 (* beta i))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (/ 1 (* beta i))) into (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (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) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i)))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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 (/ 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) (/ 1 i)) 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 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 (* (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 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (/ 1 i)) into (* (sqr (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)) 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) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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) 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) (/ 1 i)) 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 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 (* (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 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (/ 1 beta)) into (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i)))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 alpha))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (* (/ 1 beta) (/ 1 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)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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) 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) (/ 1 i)) 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 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 (* (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 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (/ 1 beta)) into (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) into (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) 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 (* beta (sqr (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 (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 (* (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 (sqr (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 (+ (* 0 0) (* 1 (sqr (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]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]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)))) 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) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) 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 (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (* beta (sqr (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 (+ (* (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 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (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]backup-simplify:  Simplify 0 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 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 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 (- (+ (* 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) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (/ 0 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* 0 (/ 0 (* beta (sqr (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]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) 2 (/ 1 alpha)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (sqr (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (* (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (* 0 (/ 0 (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))) 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))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (* 1 (* (/ 1 (/ 1 beta)) (/ 1 (/ 1 i))))) into (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta i)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i))))) in alpha
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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))) 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)) (/ 1 (- i))) 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 (- 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 (* (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 beta) (/ -1 i)) into (/ 1 (* beta i))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 (* beta i))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i))))) in beta
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in beta
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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 (/ 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)) (/ 1 (- i))) 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 (- 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 (* (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 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i)) into (* (sqr (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)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 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)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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)) 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)) (/ 1 (- i))) 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 (- 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 (* (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 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 beta)) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta))
* [misc]taylor:  Taking taylor expansion of (/ (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i))))) in i
* [misc]taylor:  Taking taylor expansion of (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) in i
* [misc]backup-simplify:  Simplify (fma (/ 1 (- i)) (+ (/ 1 (- beta)) (+ (/ 1 (- i)) (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- 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))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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)) 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)) (/ 1 (- i))) 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 (- 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 (* (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 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 beta)) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) into (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 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))) 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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) 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 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 (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) 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 (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1) (* 0 0)) 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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 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)))) 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))) 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 (/ (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 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]backup-simplify:  Simplify (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 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) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 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 (- 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)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (/ 0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [misc]backup-simplify:  Simplify 0 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 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (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]backup-simplify:  Simplify 0 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 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 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) into 0
* [misc]backup-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 (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 1 beta))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)) (/ 0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta))) (* 0 (/ 0 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 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 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 (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 0 (/ 0 (sqr (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]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 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 (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (* 0 (/ 0 (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))) 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))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (* 1 (* (/ 1 (/ 1 (- beta))) (/ 1 (/ 1 (- i)))))) into (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* beta i)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 i) in beta
* [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 i in beta
* [misc]backup-simplify:  Simplify 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 (* 0 i) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 i)) into i
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) i) into (/ (sqr (fma i 2 alpha)) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 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 i in alpha
* [misc]backup-simplify:  Simplify 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 (* beta i) into (* beta i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) (* beta i)) into (/ (sqr (fma i 2 alpha)) (* beta i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 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]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) beta) into (/ (sqr (fma i 2 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma i 2 alpha) (fma i 2 alpha)) (* beta i)) in i
* [misc]taylor:  Taking taylor expansion of (* (fma i 2 alpha) (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 (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 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]backup-simplify:  Simplify (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* beta 0) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 1) (* 0 0)) into beta
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) beta) into (/ (sqr (fma i 2 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) 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 beta in alpha
* [misc]backup-simplify:  Simplify beta into 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)) beta) into (/ (sqr (fma i 2 alpha)) beta)
* [misc]taylor:  Taking taylor expansion of (/ (sqr (fma i 2 alpha)) beta) in beta
* [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 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) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (/ (sqr (fma i 2 alpha)) 1) 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 (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (sqr (fma i 2 alpha)) beta) (/ 0 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 (+ (* (fma i 2 alpha) 0) (* 0 (fma i 2 alpha))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (sqr (fma i 2 alpha)) beta) (/ 0 beta)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in beta
* [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 1) (+ (* (sqr (fma i 2 alpha)) (/ 0 1)))) 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 (+ (* beta 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (sqr (fma i 2 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 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]taylor:  Taking taylor expansion of 0 in beta
* [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 beta) (+ (* (/ (sqr (fma i 2 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 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 (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (* 0 (fma i 2 alpha)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (sqr (fma i 2 alpha)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify 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 (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (sqr (fma i 2 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 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]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 (+ (* (fma i 2 alpha) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fma i 2 alpha))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 beta) (+ (* (/ (sqr (fma i 2 alpha)) beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 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 (* (sqr (fma i 2 alpha)) (* (/ 1 beta) (* 1 (/ 1 i)))) into (/ (sqr (fma i 2 alpha)) (* beta i))
* [misc]approximate:  Taking taylor expansion of (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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 (/ 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) (/ 1 i)) 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 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 (* (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 (/ 1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (/ 1 i)) into (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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)) 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) (/ 1 i)) 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) 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 (* (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 beta) (/ 1 i)) into (/ 1 (* beta i))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (/ 1 (* beta i))) into (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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) 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) (/ 1 i)) 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 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 (* (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 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (/ 1 beta)) into (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (/ 1 i))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 i) 2 (/ 1 alpha)) (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) 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) (/ 1 i)) 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 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 (* (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 beta) 1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (/ 1 beta)) into (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* beta (sqr (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 (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 (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) into (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha))))
* [misc]taylor:  Taking taylor expansion of (* beta (sqr (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 (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 (+ (* (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)) (fma (/ 1 i) 2 (/ 1 alpha))) into (sqr (fma (/ 1 i) 2 (/ 1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 (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]backup-simplify:  Simplify (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) 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 (+ (* (/ 1 beta) 0) (* 0 1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (/ 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 (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (* 0 (sqr (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 (/ 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 (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) into 0
* [misc]backup-simplify:  Simplify 0 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 (- (+ (* 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) (+ (* 0 0) (* 0 1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* beta (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 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 (+ (* (fma (/ 1 i) 2 (/ 1 alpha)) 0) (+ (* 0 0) (* 0 (fma (/ 1 i) 2 (/ 1 alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (sqr (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 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* (/ 1 beta) (* 1 (/ 1 i)))) into (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* beta i))
* [misc]approximate:  Taking taylor expansion of (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))) in (i alpha beta) around 0
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))) in beta
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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 (/ 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)) (/ 1 (- i))) 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 (- 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 (* (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 (/ -1 i)) into (/ 1 i)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 i)) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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))) 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)) (/ 1 (- i))) 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 (- 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 (* (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 beta) (/ -1 i)) into (/ 1 (* beta i))
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 (* beta i))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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)) 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)) (/ 1 (- i))) 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 (- 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 (* (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 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 beta)) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (/ (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))) (* (/ 1 (- beta)) (/ 1 (- i)))) in i
* [misc]taylor:  Taking taylor expansion of (* (fma (/ 1 (- i)) 2 (/ 1 (- alpha))) (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)) 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)) (/ 1 (- i))) 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 (- 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 (* (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 beta) -1) into (/ 1 beta)
* [misc]backup-simplify:  Simplify (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (/ 1 beta)) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (* (sqr (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 beta in alpha
* [misc]backup-simplify:  Simplify beta into 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))) beta) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta)
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) 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 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 (/ -1 i) 2 (/ -1 alpha))) into (sqr (fma (/ -1 i) 2 (/ -1 alpha)))
* [misc]backup-simplify:  Simplify (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1) (* 0 0)) 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 (+ (* (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 (- 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 (+ (* (/ -1 beta) 0) (* 0 -1)) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 0 (/ 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 (+ (* (fma (/ -1 i) 2 (/ -1 alpha)) 0) (* 0 (fma (/ -1 i) 2 (/ -1 alpha)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 0) (* 0 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 (+ (* (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 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify 0 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) into 0
* [misc]backup-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 (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 -1))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (/ 1 beta)) (+ (* (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) beta) (/ 0 (/ 1 beta))) (* 0 (/ 0 (/ 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 (+ (* (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 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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* (/ 1 (- beta)) (* 1 (/ 1 (- i))))) into (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))
* * * [misc]progress:  tayloring alt 7 of 9
* [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 (/ (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]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]progress:  tayloring alt 8 of 9
* [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 (/ (* (* (/ (+ (+ 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 (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 9
* [misc]approximate:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (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 (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 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 (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cbrt (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 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]approximate:  Taking taylor expansion of (/ (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)) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (/ (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)) in i
* [misc]taylor:  Taking taylor expansion of (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)))))) in i
* [misc]backup-simplify:  Simplify (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)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta 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 (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 (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ 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) (+ 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)) in alpha
* [misc]taylor:  Taking taylor expansion of (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)))))) in alpha
* [misc]backup-simplify:  Simplify (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)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta 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 (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (+ (* 2 (* beta (fma i 2 alpha))) (+ (sqr (fma i 2 alpha)) (sqr beta))) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ 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) (+ 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)) in beta
* [misc]taylor:  Taking taylor expansion of (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)))))) in beta
* [misc]backup-simplify:  Simplify (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)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta 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 (+ 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 (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (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)) in beta
* [misc]taylor:  Taking taylor expansion of (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)))))) in beta
* [misc]backup-simplify:  Simplify (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)))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta 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 (+ 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 (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta 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 (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta 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 (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))
* [misc]backup-simplify:  Simplify (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) into (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (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 (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (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 (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (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 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (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 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 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 (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) into (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (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 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (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 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (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]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 (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) into (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (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 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))
* [misc]backup-simplify:  Simplify (- (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (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 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) (/ 0 (- (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 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 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) (/ 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 (+ (* (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 (- (/ 0 (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0)) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (* (- (* 2 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (/ (* 2 (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (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 (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta 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 (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 (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) into (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in alpha
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (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 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 (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (- (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (- (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]taylor:  Taking taylor expansion of (- (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) in i
* [misc]taylor:  Taking taylor expansion of (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (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 (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) in i
* [misc]taylor:  Taking taylor expansion of (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (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]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 (* (fma i 2 alpha) (fma i 2 alpha)) into (sqr (fma i 2 alpha))
* [misc]backup-simplify:  Simplify (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) into (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha)))
* [misc]backup-simplify:  Simplify (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)) into (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) in i
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (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 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 (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) into (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))
* [misc]backup-simplify:  Simplify (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) into (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))
* [misc]backup-simplify:  Simplify (- (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (- (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) into (- (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (- (* 4 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) into (- (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]backup-simplify:  Simplify (+ (* (- (* 4 (/ (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) (sqr (* 1 (* 1 beta)))) (+ (* (- (* 2 (/ (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0))))) (* 1 (* 1 beta))) (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (fma i 2 alpha)) 1.0)))) into (- (+ (* 4 (/ (* (sqr beta) (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (sqr beta) (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* beta (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]approximate:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 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))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 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 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 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 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 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 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 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 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 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 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 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 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 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) 1) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 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)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 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 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 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) 1) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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 (- (/ 0 1) (+ (* (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) into (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))))
* [misc]taylor:  Taking taylor expansion of (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) into (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))))
* [misc]backup-simplify:  Simplify (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) into (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 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]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 (- (/ 0 1) (+ (* (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (/ (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0) 1)) (* (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) (/ (* 2 (fma (/ 1 i) 2 (/ 1 alpha))) 1)))) into (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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]taylor:  Taking taylor expansion of (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (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))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) into (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) into (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 3 (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (* 1.0 (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))))) (pow (* 1 (* 1 (/ 1 beta))) 4)) (+ (* (- (* 2 (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))))) (pow (* 1 (* 1 (/ 1 beta))) 3)) (* (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr (* 1 (* 1 (/ 1 beta))))))) into (- (+ (* 1.0 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (pow beta 4))) (+ (* 3 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (pow beta 4))) (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr beta)))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (pow beta 3))))
* [misc]approximate:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 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)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (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))))) 1.0) 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 (/ (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (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))))) 1.0) 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 (/ (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (- (+ (/ 1 (sqr beta)) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta)) 1.0))) into (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (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))))) 1.0) 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 (/ (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) 1) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]taylor:  Taking taylor expansion of (/ (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 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))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) in beta
* [misc]backup-simplify:  Simplify (cube (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (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))))) 1.0) 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 (/ (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) 1) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (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 (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 (- (/ 0 1) (+ (* (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (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 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))
* [misc]taylor:  Taking taylor expansion of (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 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)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (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 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]backup-simplify:  Simplify (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (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]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 (- (/ 0 1) (+ (* (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (/ (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0) 1)) (* (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (/ (- (* 2 (fma (/ -1 i) 2 (/ -1 alpha)))) 1)))) into (- (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))
* [misc]taylor:  Taking taylor expansion of (- (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (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 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]taylor:  Taking taylor expansion of (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (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 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in alpha
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))
* [misc]backup-simplify:  Simplify (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) into (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (- (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (- (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))
* [misc]backup-simplify:  Simplify (+ (+ (* 4 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (- (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))) into (+ (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))))
* [misc]taylor:  Taking taylor expansion of (+ (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))) in i
* [misc]taylor:  Taking taylor expansion of (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]taylor:  Taking taylor expansion of (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (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))) 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 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) in i
* [misc]backup-simplify:  Simplify (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* [misc]backup-simplify:  Simplify (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (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 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))) into (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))
* [misc]backup-simplify:  Simplify (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) into (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))
* [misc]backup-simplify:  Simplify (+ (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))) into (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))))
* [misc]backup-simplify:  Simplify (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (* 1.0 (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) into (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))))
* [misc]backup-simplify:  Simplify (+ (* (+ (* 3 (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (* 1.0 (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))))) (pow (* 1 (* 1 (/ 1 (- beta)))) 4)) (+ (* (* 2 (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))))) (pow (* 1 (* 1 (/ 1 (- beta)))) 3)) (* (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) (sqr (* 1 (* 1 (/ 1 (- beta)))))))) into (- (+ (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (sqr beta)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (pow beta 4))) (* 1.0 (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 4))))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (pow beta 3))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 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 (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [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 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]approximate:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in (i beta alpha) around 0
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [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 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]approximate:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in (beta alpha i) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ i (+ beta (fma i 2 alpha))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) into (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (* (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) into (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) into (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ i (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ i (+ beta (fma i 2 alpha)))) into (cbrt (/ i (+ beta (fma i 2 alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) into (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) into (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) 0) (* 0 (cbrt (/ i (+ 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 i
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta 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 (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (* 0 (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) 0) (* 0 (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (/ i (+ 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 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 i (+ beta (+ alpha i)) (* beta alpha))) 0) (+ (* 0 0) (* 0 (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ i (+ beta (fma i 2 alpha)))) 0) (+ (* 0 0) (* 0 (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta 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 (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))))) into (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))
* [misc]approximate:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) 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))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 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))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 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))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 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))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (* (/ 1 alpha) (/ 1 beta)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))
* [misc]backup-simplify:  Simplify (* (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) into (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 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)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) into (cbrt (/ 1 (* (+ (/ 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)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) into (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) into (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (* 0 (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) 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 (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (* 0 (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (* 0 (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (* 0 (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) 0) (+ (* 0 0) (* 0 (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i)))))) 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 (+ (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) 0) (+ (* 0 0) (* 0 (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) 0) (+ (* 0 0) (* 0 (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 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 0 into 0
* [misc]backup-simplify:  Simplify (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) into (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* [misc]approximate:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) 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)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in i
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in alpha
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha))))))) in beta
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta)))))) in beta
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (fma (/ 1 (- i)) (+ (+ (/ 1 (- beta)) (/ 1 (- alpha))) (/ 1 (- i))) (* (/ 1 (- alpha)) (/ 1 (- beta))))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) in beta
* [misc]backup-simplify:  Simplify (cbrt (/ (/ 1 (- i)) (+ (/ 1 (- beta)) (fma (/ 1 (- i)) 2 (/ 1 (- alpha)))))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) into (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) in alpha
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) in alpha
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))
* [misc]backup-simplify:  Simplify (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))) into (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) in i
* [misc]backup-simplify:  Simplify (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) into (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))
* [misc]taylor:  Taking taylor expansion of (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) in i
* [misc]taylor:  Taking taylor expansion of (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) in i
* [misc]backup-simplify:  Simplify (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) into (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [misc]taylor:  Taking taylor expansion of (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) in i
* [misc]backup-simplify:  Simplify (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) into (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]backup-simplify:  Simplify (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]backup-simplify:  Simplify (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) 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 (+ (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (* 0 (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (* 0 (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) 0) (* 0 (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))) 0) (+ (* 0 0) (* 0 (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))))) 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 (+ (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) 0) (+ (* 0 0) (* 0 (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) 0) (+ (* 0 0) (* 0 (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta 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 (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))) into (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* * * [misc]progress:  simplifying alt 1 of 108
* [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 2 of 108
* [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 3 of 108
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* alpha 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))) (sqr i)) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (+ (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 4)) (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))) (* alpha i)) (pow beta 4)) (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 4 of 108
* [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))))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (117 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* beta i) (fma i 2 alpha)) (/ (sqr i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* beta i) (fma i 2 alpha)) (/ (sqr i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 5 of 108
* [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)))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (108 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (+ (/ alpha (/ beta i)) i)) (* (/ 1 (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (/ beta i) (/ beta i)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ 1 (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) beta) (+ (/ alpha (/ beta i)) i)) (* (/ 1 (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (/ beta i) (/ beta i))))))
* * * [misc]progress:  simplifying alt 6 of 108
* [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)))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (fma (/ 1 (- (sqr (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) beta) (+ i (/ i (/ beta i)))) (* (/ 1 (- (sqr (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (/ beta i) (/ beta alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ 1 (- (sqr (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) beta) (+ i (/ i (/ beta i)))) (* (/ 1 (- (sqr (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* alpha beta))) (* (/ beta i) (/ beta alpha))))))
* * * [misc]progress:  simplifying alt 7 of 108
* [enter]simplify:  Simplifying (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (/ i (+ beta (fma i 2 alpha)))) (- (+ (* 4 (/ (* (sqr beta) (sqr (fma i 2 alpha))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (sqr beta) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* beta (fma i 2 alpha)) (sqr (- (sqr (fma i 2 alpha)) 1.0)))))))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (- (+ (/ (* (* 4 (sqr beta)) (sqr (fma i 2 alpha))) (cube (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i 2 alpha) 2) (- (sqr (fma i 2 alpha)) 1.0)) (/ beta (- (sqr (fma i 2 alpha)) 1.0))) (sqr (/ beta (- (sqr (fma i 2 alpha)) 1.0))))))
* [misc]none:  prog is (λ (alpha beta i) (* (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))) (- (+ (/ (* (* 4 (sqr beta)) (sqr (fma i 2 alpha))) (cube (- (sqr (fma i 2 alpha)) 1.0))) (/ 1 (- (sqr (fma i 2 alpha)) 1.0))) (+ (* (/ (* (fma i 2 alpha) 2) (- (sqr (fma i 2 alpha)) 1.0)) (/ beta (- (sqr (fma i 2 alpha)) 1.0))) (sqr (/ beta (- (sqr (fma i 2 alpha)) 1.0)))))))
* * * [misc]progress:  simplifying alt 8 of 108
* [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 (sqr beta)) (+ (* 3 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (pow beta 4))) (* 1.0 (/ 1 (pow beta 4))))) (* 2 (/ (fma (/ 1 i) 2 (/ 1 alpha)) (pow beta 3)))))
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (109 enodes)
* [exit]simplify:  Simplified to (* (+ (fma 3 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (pow beta 4)) (/ (/ 1 beta) beta)) (- (/ 1.0 (pow beta 4)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (cube beta) 2)))) (/ (* (fma i (+ (+ beta i) alpha) (* alpha beta)) (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i)))
* [misc]none:  prog is (λ (alpha beta i) (* (+ (fma 3 (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (pow beta 4)) (/ (/ 1 beta) beta)) (- (/ 1.0 (pow beta 4)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (cube beta) 2)))) (/ (* (fma i (+ (+ beta i) alpha) (* alpha beta)) (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta))) (/ (+ (fma i 2 alpha) beta) i))))
* * * [misc]progress:  simplifying alt 9 of 108
* [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 (sqr beta)) (+ (* 1.0 (/ 1 (pow beta 4))) (* 3 (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (pow beta 4))))) (* 2 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 3)))))
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (110 enodes)
* [exit]simplify:  Simplified to (* (- (fma 3 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (/ (/ 1 beta) beta) (/ 1.0 (pow beta 4)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (cube beta) 2))) (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* [misc]none:  prog is (λ (alpha beta i) (* (- (fma 3 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (/ (/ 1 beta) beta) (/ 1.0 (pow beta 4)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (cube beta) 2))) (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta))))))
* * * [misc]progress:  simplifying alt 10 of 108
* [enter]simplify:  Simplifying (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ i (fma i 2 alpha)) (/ (* (sqr beta) i) (pow (fma i 2 alpha) 3))) (/ (* beta i) (sqr (fma i 2 alpha))))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (* (/ (+ (/ i (fma i 2 alpha)) (- (/ (* (* beta i) beta) (cube (fma i 2 alpha))) (/ (* beta i) (sqr (fma i 2 alpha))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (+ (/ i (fma i 2 alpha)) (- (/ (* (* beta i) beta) (cube (fma i 2 alpha))) (/ (* beta i) (sqr (fma i 2 alpha))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (/ (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ beta alpha) i)))))
* * * [misc]progress:  simplifying alt 11 of 108
* [enter]simplify:  Simplifying (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i) (pow beta 3)) (/ i beta)) (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) i) (sqr beta)))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 3 (33 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (/ (* (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (fma (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) i (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* (/ beta i) beta))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (* (fma i (+ beta (+ alpha i)) (* alpha beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (fma (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (sqr beta))) i (- (/ i beta) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (* (/ beta i) beta))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 12 of 108
* [enter]simplify:  Simplifying (* (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ (+ beta alpha) i) (* alpha beta))) (- (+ (/ i beta) (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) i) (pow beta 3))) (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) i) (sqr beta)))) (/ 1 (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * [misc]simplify:  iters left: 3 (34 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (95 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (- (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ beta i)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ beta (/ i beta))) (/ i beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (fma i (+ (+ alpha i) beta) (* alpha beta)) (/ (+ (fma i 2 alpha) beta) (+ (+ alpha i) beta))) (- (* (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ beta i)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (sqr beta))) (- (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ beta (/ i beta))) (/ i beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 13 of 108
* [enter]simplify:  Simplifying (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 (+ alpha i)) (* beta alpha)) (sqr (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (* 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]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (* 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:  simplifying alt 14 of 108
* [enter]simplify:  Simplifying (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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (fma (/ 1 i) 2 (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))))
* * * [misc]progress:  simplifying alt 15 of 108
* [enter]simplify:  Simplifying (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 (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (118 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 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))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))))))
* * * [misc]progress:  simplifying alt 16 of 108
* [enter]simplify:  Simplifying (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr (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]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (93 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* (+ i beta) 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))) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* (+ i beta) 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))) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))))
* * * [misc]progress:  simplifying alt 17 of 108
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 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]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (106 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (* (+ i beta) i) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (sqr (fma i 2 alpha))) (/ (* alpha i) (- (sqr (fma i 2 alpha)) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (* (+ i beta) i) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (sqr (fma i 2 alpha))) (/ (* alpha i) (- (sqr (fma i 2 alpha)) 1.0)))))
* * * [misc]progress:  simplifying alt 18 of 108
* [enter]simplify:  Simplifying (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr (fma (/ -1 i) 2 (/ -1 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]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (69 enodes)
* * [misc]simplify:  iters left: 1 (120 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)))) (/ (* (+ beta i) i) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* alpha i) (- (sqr (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ beta alpha) i) (* beta alpha)) (sqr (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ -1 i) 2 (/ -1 alpha)))) (/ (* (+ beta i) i) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (* alpha i) (- (sqr (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ beta alpha) i) (* beta alpha)) (sqr (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 19 of 108
* [enter]simplify:  Simplifying (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (* (/ i (- (sqr (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]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* (+ i beta) i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* (+ i beta) i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))))
* * * [misc]progress:  simplifying alt 20 of 108
* [enter]simplify:  Simplifying (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (* (/ i (- (sqr (fma (/ 1 i) 2 (/ 1 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]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* (+ i beta) i) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (* (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* (+ i beta) i) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (* (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ i beta) alpha) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 21 of 108
* [enter]simplify:  Simplifying (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (* (/ i (- (sqr (fma (/ -1 i) 2 (/ -1 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]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* (+ i beta) i) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (* (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* (+ i beta) i) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (* (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))))))
* * * [misc]progress:  simplifying alt 22 of 108
* [enter]simplify:  Simplifying (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) (- (sqr (fma i 2 alpha)) 1.0)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ i (+ alpha beta)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* alpha i) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)))))
* * * [misc]progress:  simplifying alt 23 of 108
* [enter]simplify:  Simplifying (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) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (92 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (/ (* (* alpha i) (fma i (+ beta (+ i alpha)) (* beta alpha))) (* (fma i 2 alpha) (fma i 2 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (/ (* (* alpha i) (fma i (+ beta (+ i alpha)) (* beta alpha))) (* (fma i 2 alpha) (fma i 2 alpha))) (- (sqr (fma (/ 1 i) 2 (/ 1 alpha))) 1.0))))
* * * [misc]progress:  simplifying alt 24 of 108
* [enter]simplify:  Simplifying (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) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha)))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (/ (* (* alpha i) (fma i (+ (+ alpha beta) i) (* beta alpha))) (* (fma i 2 alpha) (fma i 2 alpha))) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0)))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (fma i 2 alpha) (fma i 2 alpha))) (/ (* i (+ i beta)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (/ (* (* alpha i) (fma i (+ (+ alpha beta) i) (* beta alpha))) (* (fma i 2 alpha) (fma i 2 alpha))) (- (sqr (fma (/ -1 i) 2 (/ -1 alpha))) 1.0))))
* * * [misc]progress:  simplifying alt 25 of 108
* [enter]simplify:  Simplifying (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (/ (* (+ alpha i) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) i)) (pow beta 4)))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* * [misc]simplify:  iters left: 1 (59 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (/ (* (* i (+ alpha i)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow beta 4)))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (/ (* (* i (+ alpha i)) (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (pow beta 4))))
* * * [misc]progress:  simplifying alt 26 of 108
* [enter]simplify:  Simplifying (fma (* (sqr beta) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ beta i) (/ (* (pow beta 4) (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (+ (/ 1 i) (/ 1 alpha)))) i))
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (fma (* (fma (- i) (- (+ i (+ beta alpha))) (* beta alpha)) (sqr beta)) (/ beta i) (/ (* (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i))) (fma (- i) (- (+ i (+ beta alpha))) (* beta alpha))) i))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (fma (- i) (- (+ i (+ beta alpha))) (* beta alpha)) (sqr beta)) (/ beta i) (/ (* (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i))) (fma (- i) (- (+ i (+ beta alpha))) (* beta alpha))) i)))
* * * [misc]progress:  simplifying alt 27 of 108
* [enter]simplify:  Simplifying (fma (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (/ beta i) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* (pow beta 4) (+ (/ 1 i) (/ 1 alpha)))) 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)) (/ beta i) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (/ i (pow beta 4)) (+ (/ 1 i) (/ 1 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (fma i (+ beta (+ i alpha)) (* beta alpha)) (* beta beta)) (/ beta i) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (/ i (pow beta 4)) (+ (/ 1 i) (/ 1 alpha))))))
* * * [misc]progress:  simplifying alt 28 of 108
* [enter]simplify:  Simplifying (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))) i) (pow beta 4)) (+ alpha i)))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (* (+ alpha i) (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (pow beta 4) i))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (* (+ alpha i) (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)))))
* * * [misc]progress:  simplifying alt 29 of 108
* [enter]simplify:  Simplifying (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (* 0 (+ alpha i)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) 0)
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) 0))
* * * [misc]progress:  simplifying alt 30 of 108
* [enter]simplify:  Simplifying (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (* 0 (+ alpha i)))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (35 enodes)
* * [misc]simplify:  iters left: 1 (45 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) 0)
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) 0))
* * * [misc]progress:  simplifying alt 31 of 108
* [enter]simplify:  Simplifying (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (sqr beta)) (/ i beta) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ alpha i)))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (97 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (/ (pow beta 4) i) (+ alpha i))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (/ (pow beta 4) i) (+ alpha i)))))
* * * [misc]progress:  simplifying alt 32 of 108
* [enter]simplify:  Simplifying (fma (/ (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr beta)) (/ i beta) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ alpha i)))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (59 enodes)
* * [misc]simplify:  iters left: 1 (105 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (/ 1 beta) alpha)) (/ (/ (pow beta 4) i) (+ alpha i))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ (/ 1 beta) alpha)) (/ (/ (pow beta 4) i) (+ alpha i)))))
* * * [misc]progress:  simplifying alt 33 of 108
* [enter]simplify:  Simplifying (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr beta)) (/ i beta) (* (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ alpha i)))
* * [misc]simplify:  iters left: 3 (27 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (/ (pow beta 4) i) (+ i alpha))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (/ (pow beta 4) i) (+ i alpha)))))
* * * [misc]progress:  simplifying alt 34 of 108
* [enter]simplify:  Simplifying (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]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* * [misc]simplify:  iters left: 1 (87 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (/ (pow beta 4) i) (+ alpha i))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (/ (pow beta 4) i) (+ alpha i)))))
* * * [misc]progress:  simplifying alt 35 of 108
* [enter]simplify:  Simplifying (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))) (/ 1 (* (pow beta 4) i))) (+ alpha i)))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* * [misc]simplify:  iters left: 1 (84 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (/ (/ 1 (pow beta 4)) i) (+ alpha i))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (/ (/ 1 (pow beta 4)) i) (+ alpha i)))))
* * * [misc]progress:  simplifying alt 36 of 108
* [enter]simplify:  Simplifying (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))) (/ (exp (* 4 (- (log -1) (log beta)))) i)) (+ alpha i)))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (57 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (/ (pow (exp 4) (- (log -1) (log beta))) i) (+ alpha i))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) (/ (fma (/ -1 i) (- (+ (/ 1 i) (+ (/ 1 beta) (/ 1 alpha)))) (/ 1 (* beta alpha))) (/ (/ (pow (exp 4) (- (log -1) (log beta))) i) (+ alpha i)))))
* * * [misc]progress:  simplifying alt 37 of 108
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta i)) (sqr (fma i 2 alpha))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (sqr (fma i 2 alpha))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (sqr (fma i 2 alpha))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (54 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma i 2 alpha)) (+ (/ (* i i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (* (+ 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))) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma i 2 alpha)) (+ (/ (* i i) (fma i 2 alpha)) (/ (* beta i) (fma i 2 alpha))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 38 of 108
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (sqr beta)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) beta) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ i (/ beta i)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) beta) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) beta) (+ i (/ (* alpha i) beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ i (/ beta i)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) beta) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) beta) (+ i (/ (* alpha i) beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 39 of 108
* [enter]simplify:  Simplifying (/ (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) beta) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (sqr beta)) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) (sqr beta)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (28 enodes)
* * [misc]simplify:  iters left: 2 (53 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) beta) i (fma (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) beta) (/ alpha (/ beta i)) (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) (* (/ beta i) (/ beta i))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) beta) i (fma (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) beta) (/ alpha (/ beta i)) (/ (fma (- i) (- (+ (+ beta i) alpha)) (* alpha beta)) (* (/ beta i) (/ beta i))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 40 of 108
* [enter]simplify:  Simplifying (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (sqr i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (* (sqr (fma i 2 alpha)) (- (sqr (fma i 2 alpha)) 1.0)))))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (142 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ alpha (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ beta (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (- (sqr (fma i 2 alpha)) 1.0)) (+ (* (/ alpha (fma i 2 alpha)) (/ i (fma i 2 alpha))) (* (/ i (fma i 2 alpha)) (/ i (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 41 of 108
* [enter]simplify:  Simplifying (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) i) (pow beta 3)) (+ (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* alpha i)) (pow beta 4)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (sqr i)) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (21 enodes)
* * [misc]simplify:  iters left: 2 (39 enodes)
* * [misc]simplify:  iters left: 1 (58 enodes)
* [exit]simplify:  Simplified to (+ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (pow beta 4) (sqr i))) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (cube beta)) i (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (pow beta 4) (* alpha i)))))
* [misc]none:  prog is (λ (alpha beta i) (+ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (pow beta 4) (sqr i))) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (cube beta)) i (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (pow beta 4) (* alpha i))))))
* * * [misc]progress:  simplifying alt 42 of 108
* [enter]simplify:  Simplifying (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (sqr i)) (pow beta 4)) (+ (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) i) (pow beta 3)) (/ (* (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha)) (* alpha i)) (pow beta 4))))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (+ (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (/ (pow beta 4) (* i alpha))) (fma (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (cube beta)) i (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (/ (pow beta 4) (* i i)))))
* [misc]none:  prog is (λ (alpha beta i) (+ (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (/ (pow beta 4) (* i alpha))) (fma (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (cube beta)) i (/ (fma (- i) (- (+ (+ alpha i) beta)) (* alpha beta)) (/ (pow beta 4) (* i i))))))
* * * [misc]progress:  simplifying alt 43 of 108
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 44 of 108
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma i (+ beta (+ alpha i)) (* beta alpha))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (32 enodes)
* * [misc]simplify:  iters left: 1 (56 enodes)
* [exit]simplify:  Simplified to (/ (* (* i (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (fma i (+ beta (+ alpha i)) (* alpha beta))) (* (- (* (+ (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) (/ (* (* i (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (fma i (+ beta (+ alpha i)) (* alpha beta))) (* (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (+ (fma i 2 alpha) beta))))
* * * [misc]progress:  simplifying alt 45 of 108
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (* -1 i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ 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 (40 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (- i) (- (+ (+ beta alpha) i)) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (- i) (- (+ (+ beta alpha) i)) (* alpha beta)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 46 of 108
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 47 of 108
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 48 of 108
* [enter]simplify:  Simplifying (/ (* (* (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha))) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ i (+ beta (fma i 2 alpha)))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* * [misc]simplify:  iters left: 1 (70 enodes)
* [exit]simplify:  Simplified to (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta))))
* [misc]none:  prog is (λ (alpha beta i) (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 i)) (/ 1 beta)) (/ (/ 1 beta) alpha)) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)) (* (/ (+ (+ i beta) alpha) (+ (fma i 2 alpha) beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 49 of 108
* [enter]simplify:  Simplifying (sqr (+ (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ i (fma i 2 alpha))) (+ (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ alpha (fma i 2 alpha)))) (* 1/2 (* (sqrt (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (- (sqr (fma i 2 alpha)) 1.0))) (/ beta (fma i 2 alpha)))))))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (104 enodes)
* [exit]simplify:  Simplified to (sqr (fma (/ i (fma i 2 alpha)) (sqrt (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (* (sqrt (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (* 1/2 (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha)))))))
* [misc]none:  prog is (λ (alpha beta i) (sqr (fma (/ i (fma i 2 alpha)) (sqrt (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (* (sqrt (/ (fma i (+ (+ beta i) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (* 1/2 (+ (/ beta (fma i 2 alpha)) (/ alpha (fma i 2 alpha))))))))
* * * [misc]progress:  simplifying alt 50 of 108
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* alpha (* (fma (/ 1 i) 2 (/ 1 alpha)) i))) (pow beta 4)))))))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 51 of 108
* [enter]simplify:  Simplifying (sqr (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i)) (pow beta 3))) (- (+ (* +nan.0 (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) i) (sqr beta))) (- (* +nan.0 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* alpha i))) (pow beta 4)))))))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 52 of 108
* [enter]simplify:  Simplifying (sqr (sqrt (+ (/ (* (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 (59 enodes)
* * [misc]simplify:  iters left: 1 (138 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ (+ i beta) 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 (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ i (fma i 2 alpha)) (/ beta (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 (+ (+ i beta) 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 (+ (+ i beta) alpha) (* beta alpha)) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (+ (* (/ i (fma i 2 alpha)) (/ beta (fma i 2 alpha))) (/ (* alpha i) (* (fma i 2 alpha) (fma i 2 alpha)))))))
* * * [misc]progress:  simplifying alt 53 of 108
* [enter]simplify:  Simplifying (sqr (sqrt (+ (/ (* (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 (50 enodes)
* * [misc]simplify:  iters left: 1 (70 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) (* alpha 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 (/ (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) (* alpha i)))) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i)))))
* * * [misc]progress:  simplifying alt 54 of 108
* [enter]simplify:  Simplifying (sqr (sqrt (+ (/ (* (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 (63 enodes)
* * [misc]simplify:  iters left: 1 (90 enodes)
* [exit]simplify:  Simplified to (+ (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i)))) (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (cube beta)) i (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* i i)))) (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ 1 (* beta alpha))) (/ (pow beta 4) (* alpha i)))))
* * * [misc]progress:  simplifying alt 55 of 108
* [enter]simplify:  Simplifying (sqr (sqrt (/ (+ (/ (* (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 (49 enodes)
* * [misc]simplify:  iters left: 1 (100 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* beta i) (fma i 2 alpha)) (/ (sqr i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (fma i 2 alpha)) (/ (* alpha i) (fma i 2 alpha)) (* (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (fma i 2 alpha)) (+ (/ (* beta i) (fma i 2 alpha)) (/ (sqr i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 56 of 108
* [enter]simplify:  Simplifying (sqr (sqrt (/ (+ (/ (* (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 (56 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) i (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (/ alpha (/ beta i)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (* (/ beta 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 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) i (fma (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) beta) (/ alpha (/ beta i)) (/ (fma (/ 1 i) (+ (+ (/ 1 i) (/ 1 alpha)) (/ 1 beta)) (/ 1 (* beta alpha))) (* (/ beta i) (/ beta i))))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 57 of 108
* [enter]simplify:  Simplifying (sqr (sqrt (/ (+ (/ (* (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 (62 enodes)
* * [misc]simplify:  iters left: 1 (107 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) (+ (/ alpha (/ beta i)) (/ 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) alpha)) (/ (- 1) i)) (/ 1 (* alpha beta))) beta) i (* (/ (fma (/ -1 i) (+ (+ (/ (- 1) beta) (/ (- 1) alpha)) (/ (- 1) i)) (/ 1 (* alpha beta))) beta) (+ (/ alpha (/ beta i)) (/ i (/ beta i))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 58 of 108
* [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 59 of 108
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) (pow beta 6))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))))))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 60 of 108
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (sqr i)) (pow beta 4))) (- (+ (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* alpha (sqr i))) (pow beta 5))) (- (* +nan.0 (/ (* (sqr (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))) (* (sqr alpha) (sqr i))) (pow beta 6))))))))
* [misc]none:  prog is (λ (alpha beta i) +nan.0)
* * * [misc]progress:  simplifying alt 61 of 108
* [enter]simplify:  Simplifying (- (+ (/ (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (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)) (* 4 (/ (* (sqr beta) (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3)))) (+ (/ (* (sqr beta) (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* beta (* (fma (/ (fma i (+ beta (+ alpha i)) (* beta alpha)) (fma i 2 alpha)) (/ (* (+ alpha i) i) (fma i 2 alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* * [misc]simplify:  iters left: 3 (38 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (156 enodes)
* [exit]simplify:  Simplified to (- (fma (/ (* (* beta beta) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ (+ i alpha) (fma i 2 alpha)) i) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha)))))) (/ (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (fma i 2 alpha) (fma i 2 alpha)))) 4 (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ (+ i alpha) (fma i 2 alpha)) i) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha))))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (fma 2 (* (/ beta (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ (+ i alpha) (fma i 2 alpha)) i) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha))))) (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (fma i 2 alpha)))) (* (/ (* beta beta) (sqr (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ (+ i alpha) (fma i 2 alpha)) i) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha))))))))
* [misc]none:  prog is (λ (alpha beta i) (- (fma (/ (* (* beta beta) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ (+ i alpha) (fma i 2 alpha)) i) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha)))))) (/ (cube (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (* (fma i 2 alpha) (fma i 2 alpha)))) 4 (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ (+ i alpha) (fma i 2 alpha)) i) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha))))) (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (fma 2 (* (/ beta (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0)) (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ (+ i alpha) (fma i 2 alpha)) i) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha))))) (/ (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0) (fma i 2 alpha)))) (* (/ (* beta beta) (sqr (- (* (fma i 2 alpha) (fma i 2 alpha)) 1.0))) (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ (+ i alpha) (fma i 2 alpha)) i) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha)))))))))
* * * [misc]progress:  simplifying alt 62 of 108
* [enter]simplify:  Simplifying (- (+ (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr beta)) (+ (* 3 (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (pow beta 4))) (* 1.0 (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (pow beta 4))))) (* 2 (/ (* (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) i)))) (fma (/ 1 i) 2 (/ 1 alpha))) (pow beta 3))))
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (75 enodes)
* * [misc]simplify:  iters left: 1 (123 enodes)
* [exit]simplify:  Simplified to (- (fma 1.0 (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (* i beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (pow beta 4)) (fma 3 (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (* i beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (pow beta 4) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (* i beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* beta beta)))) (/ (* (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (* i beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) 2) (/ (cube beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (- (fma 1.0 (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (* i beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (pow beta 4)) (fma 3 (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (* i beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (/ (pow beta 4) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (* i beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) (* beta beta)))) (/ (* (fma (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (fma (/ 1 i) 2 (/ 1 alpha))) i) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* beta alpha))) (* (* i beta) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))))) 2) (/ (cube beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* * * [misc]progress:  simplifying alt 63 of 108
* [enter]simplify:  Simplifying (- (+ (* 1.0 (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (pow beta 4))) (+ (* 3 (/ (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr (fma (/ -1 i) 2 (/ -1 alpha)))) (pow beta 4))) (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 alpha) (/ 1 i)) (* (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))) (* beta i)))) (sqr beta)))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (+ (/ 1 i) (/ 1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i))))) (pow beta 3))))
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (96 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (+ (fma (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))) (/ (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) 2 (/ -1 alpha)))) 3 (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))) (/ (pow beta 4) 1.0))) (- (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))) (* beta beta)) (* (/ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (cube beta)) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))) (/ (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) 2 (/ -1 alpha)))) 3 (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))) (/ (pow beta 4) 1.0))) (- (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))) (* beta beta)) (* (/ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (cube beta)) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i)))))))))
* * * [misc]progress:  simplifying alt 64 of 108
* [enter]simplify:  Simplifying (/ (fma (/ (fma i (+ beta (+ alpha i)) (* 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]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 i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (/ (* i (+ i alpha)) (fma i 2 alpha)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (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 (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (/ (* i (+ i alpha)) (fma i 2 alpha)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 65 of 108
* [enter]simplify:  Simplifying (/ (fma (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 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]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (61 enodes)
* * [misc]simplify:  iters left: 1 (98 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (* i (+ i alpha)) (fma i 2 alpha)) (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (* (/ (fma i 2 alpha) beta) (/ (fma i 2 alpha) 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 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (* i (+ i alpha)) (fma i 2 alpha)) (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (* (/ (fma i 2 alpha) beta) (/ (fma i 2 alpha) i)))) (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)))
* * * [misc]progress:  simplifying alt 66 of 108
* [enter]simplify:  Simplifying (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 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]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (68 enodes)
* * [misc]simplify:  iters left: 1 (112 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (* (/ i (fma i 2 alpha)) (+ alpha i)) (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (/ (fma i 2 alpha) i) (/ (fma i 2 alpha) beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (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 (* beta alpha))) (fma (/ -1 i) 2 (/ -1 alpha))) (* (/ i (fma i 2 alpha)) (+ alpha i)) (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (/ (fma i 2 alpha) i) (/ (fma i 2 alpha) beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 67 of 108
* [enter]simplify:  Simplifying (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ i (fma i 2 alpha)) (+ i alpha)) (/ (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (* beta i)) (sqr (fma i 2 alpha)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (fma i 2 alpha)) (/ (* i (+ i alpha)) (fma i 2 alpha)) (/ (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (* beta i)) (* (fma i 2 alpha) (fma i 2 alpha)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (fma i 2 alpha)) (/ (* i (+ i alpha)) (fma i 2 alpha)) (/ (* (fma i (+ alpha (+ i beta)) (* beta alpha)) (* beta i)) (* (fma i 2 alpha) (fma i 2 alpha)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 68 of 108
* [enter]simplify:  Simplifying (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ i (fma i 2 alpha)) (+ i alpha)) (/ (* (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))) (* beta i)) (sqr (fma (/ 1 i) 2 (/ 1 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * [misc]simplify:  iters left: 3 (31 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (101 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (+ i alpha) (/ i (fma i 2 alpha))) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* beta i) (fma (/ 1 i) 2 (/ 1 alpha)))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (+ i alpha) (/ i (fma i 2 alpha))) (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i)) (/ 1 (* beta alpha))) (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (* beta i) (fma (/ 1 i) 2 (/ 1 alpha)))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 69 of 108
* [enter]simplify:  Simplifying (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (/ i (fma i 2 alpha)) (+ i alpha)) (/ (* (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha))) (* beta i)) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (115 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (+ i alpha) (/ i (fma i 2 alpha))) (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ (/ 1 beta) alpha)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (* beta i) (fma (/ -1 i) 2 (/ -1 alpha)))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (+ i alpha) (/ i (fma i 2 alpha))) (/ (fma (/ -1 i) (- (+ (+ (/ 1 i) (/ 1 beta)) (/ 1 alpha))) (/ (/ 1 beta) alpha)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (* beta i) (fma (/ -1 i) 2 (/ -1 alpha)))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 70 of 108
* [enter]simplify:  Simplifying (/ (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)) (/ (sqr (fma i 2 alpha)) (* beta i)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (41 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (/ (* i (+ i alpha)) (fma i 2 alpha)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (/ (* i (+ i alpha)) (fma i 2 alpha)) (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma i 2 alpha) (/ (* beta i) (fma i 2 alpha))))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 71 of 108
* [enter]simplify:  Simplifying (/ (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)) (/ (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (* beta i)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* * [misc]simplify:  iters left: 1 (82 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (+ i alpha) (/ i (fma i 2 alpha))) (/ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (fma i 2 alpha)) (* (+ i alpha) (/ i (fma i 2 alpha))) (/ (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) i)) (/ (fma (/ 1 i) 2 (/ 1 alpha)) beta))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 72 of 108
* [enter]simplify:  Simplifying (/ (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)) (/ (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (* beta i)))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* * [misc]simplify:  iters left: 3 (26 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* * [misc]simplify:  iters left: 1 (80 enodes)
* [exit]simplify:  Simplified to (/ (fma (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (fma i 2 alpha)) (/ (* i (+ i alpha)) (fma i 2 alpha)) (/ (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (fma (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (fma i 2 alpha)) (/ (* i (+ i alpha)) (fma i 2 alpha)) (/ (/ (fma i (+ alpha (+ i beta)) (* beta alpha)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) i)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) beta))) (- (sqr (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 73 of 108
* [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 74 of 108
* [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 75 of 108
* [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 76 of 108
* [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 77 of 108
* [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 78 of 108
* [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 79 of 108
* [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 80 of 108
* [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 81 of 108
* [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 82 of 108
* [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 83 of 108
* [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 84 of 108
* [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 85 of 108
* [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 86 of 108
* [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 87 of 108
* [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 88 of 108
* [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 89 of 108
* [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 90 of 108
* [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 91 of 108
* [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 92 of 108
* [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 93 of 108
* [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 94 of 108
* [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 108
* [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 108
* [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 108
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (24 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (* (fma i (+ (+ beta i) alpha) (* alpha beta)) (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) 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 i (+ (+ beta i) alpha) (* alpha beta)) (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 98 of 108
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha))))) (cbrt (/ 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 (49 enodes)
* * [misc]simplify:  iters left: 1 (81 enodes)
* [exit]simplify:  Simplified to (/ (* (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ (/ 1 beta) alpha)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) 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 (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ (/ 1 beta) alpha)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 99 of 108
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))))) (cbrt (/ i (+ beta (fma i 2 alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (55 enodes)
* * [misc]simplify:  iters left: 1 (94 enodes)
* [exit]simplify:  Simplified to (/ (* (fma (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ (/ 1 beta) alpha)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) 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 (/ -1 i) (- (+ (+ (/ 1 beta) (/ 1 alpha)) (/ 1 i))) (/ (/ 1 beta) alpha)) (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 100 of 108
* [enter]simplify:  Simplifying (- (+ (* 4 (/ (* (sqr beta) (* (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (sqr (fma i 2 alpha)))) (pow (- (sqr (fma i 2 alpha)) 1.0) 3))) (/ (cube (* (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha))))))) (- (sqr (fma i 2 alpha)) 1.0))) (+ (/ (* (sqr beta) (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha))))))) (sqr (- (sqr (fma i 2 alpha)) 1.0))) (* 2 (/ (* beta (* (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (fma i 2 alpha))) (sqr (- (sqr (fma i 2 alpha)) 1.0))))))
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (89 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (fma (* (/ (* beta beta) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (* (sqr (fma i 2 alpha)) (/ i (+ (fma i 2 alpha) beta))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 4 (- (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (fma 2 (/ (* (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (/ (sqr (- (sqr (fma i 2 alpha)) 1.0)) (fma i 2 alpha))) (* (/ (* beta beta) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha))))))))
* [misc]none:  prog is (λ (alpha beta i) (fma (* (/ (* beta beta) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (* (sqr (fma i 2 alpha)) (/ i (+ (fma i 2 alpha) beta))) (* (fma i (+ beta (+ alpha i)) (* beta alpha)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (sqr (- (sqr (fma i 2 alpha)) 1.0)))) 4 (- (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))) (fma 2 (/ (* (* beta (fma i (+ beta (+ alpha i)) (* beta alpha))) (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta)))) (/ (sqr (- (sqr (fma i 2 alpha)) 1.0)) (fma i 2 alpha))) (* (/ (* beta beta) (- (sqr (fma i 2 alpha)) 1.0)) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ beta (+ alpha i)) (+ (fma i 2 alpha) beta))) (/ (- (sqr (fma i 2 alpha)) 1.0) (fma i (+ beta (+ alpha i)) (* beta alpha)))))))))
* * * [misc]progress:  simplifying alt 101 of 108
* [enter]simplify:  Simplifying (- (+ (* 1.0 (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (pow beta 4))) (+ (* 3 (/ (* (sqr (fma (/ 1 i) 2 (/ 1 alpha))) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (pow beta 4))) (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (sqr beta)))) (* 2 (/ (* (fma (/ 1 i) 2 (/ 1 alpha)) (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))))) (pow beta 3))))
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (85 enodes)
* * [misc]simplify:  iters left: 1 (152 enodes)
* [exit]simplify:  Simplified to (- (fma 1.0 (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (pow beta 4) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (* (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (pow beta 4) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))))) 3 (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (* beta beta) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (/ (* (* 2 (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))))) (/ (cube beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* [misc]none:  prog is (λ (alpha beta i) (- (fma 1.0 (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (pow beta 4) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (* (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (pow beta 4) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))))) 3 (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (* beta beta) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (/ (* (* 2 (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))))) (/ (cube beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* * * [misc]progress:  simplifying alt 102 of 108
* [enter]simplify:  Simplifying (- (+ (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (sqr beta)) (+ (* 3 (/ (* (sqr (fma (/ -1 i) 2 (/ -1 alpha))) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (pow beta 4))) (* 1.0 (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (pow beta 4))))) (* 2 (/ (* (fma (/ -1 i) 2 (/ -1 alpha)) (cube (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (* (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))) (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha)))))))) (pow beta 3))))
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (113 enodes)
* * [misc]simplify:  iters left: 1 (223 enodes)
* [exit]simplify:  Simplified to (+ (fma 3 (* (* (* (fma (/ -1 i) (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha))))) (/ (* (* (fma (/ -1 i) (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* beta beta))) (- (/ (* (* (fma (/ -1 i) (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (pow beta 4) 1.0)) (* (/ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (cube beta)) (* (* (fma (/ -1 i) (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))
* [misc]none:  prog is (λ (alpha beta i) (+ (fma 3 (* (* (* (fma (/ -1 i) (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha))))) (/ (* (* (fma (/ -1 i) (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (* beta beta))) (- (/ (* (* (fma (/ -1 i) (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (pow beta 4) 1.0)) (* (/ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (cube beta)) (* (* (fma (/ -1 i) (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (/ 1 (* beta alpha))) (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))) (/ (fma (+ (/ 1 beta) (/ 1 alpha)) -1 (/ (- 1) i)) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))))
* * * [misc]progress:  simplifying alt 103 of 108
* [enter]simplify:  Simplifying (/ (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))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ alpha i) beta) (* alpha 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) (/ (* (/ (+ (+ alpha i) beta) (+ (fma i 2 alpha) beta)) (fma i (+ (+ alpha i) beta) (* alpha beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ i (+ (fma i 2 alpha) beta)))))
* * * [misc]progress:  simplifying alt 104 of 108
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (29 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (86 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta i) alpha) (* alpha beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (+ (+ beta i) alpha) (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta i) alpha) (* alpha beta))) (/ (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0) (/ (/ 1 i) (+ (fma (/ 1 i) 2 (/ 1 alpha)) (/ 1 beta))))))
* * * [misc]progress:  simplifying alt 105 of 108
* [enter]simplify:  Simplifying (/ (cube (* (* (cbrt (/ (+ (+ beta alpha) i) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ (+ beta alpha) i) (* alpha beta)))) (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* * [misc]simplify:  iters left: 1 (78 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (/ -1 i) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))) (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (fma i (+ (+ beta alpha) i) (* alpha beta)))) (- (* (+ (fma i 2 alpha) beta) (+ (fma i 2 alpha) beta)) 1.0)))
* * * [misc]progress:  simplifying alt 106 of 108
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (/ i (+ beta (fma i 2 alpha)))) (* (cbrt (/ (+ beta (+ alpha i)) (+ beta (fma i 2 alpha)))) (cbrt (fma i (+ beta (+ alpha i)) (* beta alpha)))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (22 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* * [misc]simplify:  iters left: 1 (65 enodes)
* [exit]simplify:  Simplified to (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ 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))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ i (+ (fma i 2 alpha) beta)) (/ (+ (+ 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)))))
* * * [misc]progress:  simplifying alt 107 of 108
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (/ 1 (* (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) i))) (* (cbrt (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (/ 1 (* beta alpha)))) (cbrt (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* * [misc]simplify:  iters left: 1 (88 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (/ (/ 1 beta) alpha))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (/ (/ 1 beta) alpha))) (/ (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0) (/ (+ (/ 1 alpha) (+ (/ 1 i) (/ 1 beta))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))
* * * [misc]progress:  simplifying alt 108 of 108
* [enter]simplify:  Simplifying (/ (cube (* (cbrt (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ 1 (* beta alpha)))) (* (cbrt (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i))) (cbrt (* -1 (/ (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))))) (- (sqr (+ beta (fma i 2 alpha))) 1.0))
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (129 enodes)
* [exit]simplify:  Simplified to (/ (* (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (fma (/ -1 i) (fma -1 (+ (/ 1 i) (/ 1 beta)) (- (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ (fma -1 (+ (/ 1 i) (/ 1 beta)) (- (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)))))
* [misc]none:  prog is (λ (alpha beta i) (/ (* (/ -1 (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)) (fma (/ -1 i) (fma -1 (+ (/ 1 i) (/ 1 beta)) (- (/ 1 alpha))) (/ 1 (* beta alpha)))) (/ (- (sqr (+ (fma i 2 alpha) beta)) 1.0) (/ (fma -1 (+ (/ 1 i) (/ 1 beta)) (- (/ 1 alpha))) (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta))))))
* [misc]progress:  [Phase 3 of 3] Extracting.
* [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))
* [enter]simplify:  Simplifying (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* beta alpha))) (* beta beta)) (/ i beta) 0)
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (55 enodes)
* * [misc]simplify:  iters left: 2 (63 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ 1 (* alpha beta))) (* beta beta)) (/ i beta) 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))))
* [enter]simplify:  Simplifying (fma (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ 1 (* beta alpha))) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (* (+ i beta) i) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ beta (+ i alpha)) (* beta alpha)) (sqr (fma i 2 alpha))) (/ (* alpha i) (- (sqr (fma i 2 alpha)) 1.0))))
* * [misc]simplify:  iters left: 6 (31 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (90 enodes)
* * [misc]simplify:  iters left: 3 (135 enodes)
* * [misc]simplify:  iters left: 2 (205 enodes)
* * [misc]simplify:  iters left: 1 (308 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma (/ 1 i) (+ (+ (/ 1 beta) (/ 1 i)) (/ 1 alpha)) (/ (/ 1 beta) alpha)) (sqr (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (* (+ i beta) i) (- (sqr (fma i 2 alpha)) 1.0)) (* (/ (fma i (+ beta (+ alpha i)) (* alpha beta)) (sqr (fma i 2 alpha))) (/ (* alpha i) (- (sqr (fma i 2 alpha)) 1.0))))
* [enter]simplify:  Simplifying (fma (* (fma (- i) (- (+ i (+ beta alpha))) (* beta alpha)) (sqr beta)) (/ beta i) (/ (* (* (pow beta 4) (+ (/ 1 alpha) (/ 1 i))) (fma (- i) (- (+ i (+ beta alpha))) (* beta alpha))) i))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (111 enodes)
* * [misc]simplify:  iters left: 2 (185 enodes)
* * [misc]simplify:  iters left: 1 (361 enodes)
* [exit]simplify:  Simplified to (fma (* (* beta beta) (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha))) (/ beta i) (* (/ (+ (/ (pow beta 4) alpha) (/ (pow beta 4) i)) i) (fma (- i) (- (+ beta (+ alpha i))) (* beta alpha))))
* [enter]simplify:  Simplifying (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))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (100 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (130 enodes)
* [exit]simplify:  Simplified to (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (fma i 2 alpha)) (* (+ i alpha) (/ i (fma i 2 alpha))) (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (/ (fma i 2 alpha) i) (/ (fma i 2 alpha) beta))))
* [exit]simplify:  Simplified to (fma (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (fma i 2 alpha)) (* (+ i alpha) (/ i (fma i 2 alpha))) (/ (fma i (+ (+ alpha beta) i) (* beta alpha)) (* (/ (fma i 2 alpha) i) (/ (fma i 2 alpha) beta))))
* [enter]simplify:  Simplifying (- (sqr (+ (fma i 2 alpha) beta)) 1.0)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (101 enodes)
* * [misc]simplify:  iters left: 1 (159 enodes)
* [exit]simplify:  Simplified to (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)
* [exit]simplify:  Simplified to (- (* (+ beta (fma i 2 alpha)) (+ beta (fma i 2 alpha))) 1.0)
* [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 0
* * [misc]simplify:  iters left: 0 (1 enodes)
* [exit]simplify:  Simplified to 0
* [enter]simplify:  Simplifying (+ (fma (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))) (/ (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha))) (fma (/ -1 i) 2 (/ -1 alpha)))) 3 (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))) (/ (pow beta 4) 1.0))) (- (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))) (* beta beta)) (* (/ (* 2 (fma (/ -1 i) 2 (/ -1 alpha))) (cube beta)) (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 alpha) (/ 1 i)) (fma (/ -1 i) 2 (/ -1 alpha))) i) (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i)))) (/ (/ 1 beta) alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* (fma (/ -1 i) 2 (/ -1 alpha)) (* beta i))))))))
* * [misc]simplify:  iters left: 6 (43 enodes)
* * [misc]simplify:  iters left: 5 (78 enodes)
* * [misc]simplify:  iters left: 4 (127 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (354 enodes)
* [exit]simplify:  Simplified to (+ (fma (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (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)) (* i beta)) (fma (/ -1 i) 2 (/ -1 alpha))))) (/ (pow beta 4) (sqr (fma (/ -1 i) 2 (/ -1 alpha))))) 3 (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (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)) (* i beta)) (fma (/ -1 i) 2 (/ -1 alpha))))) (/ 1.0 (pow beta 4)))) (- (/ (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (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)) (* i beta)) (fma (/ -1 i) 2 (/ -1 alpha))))) (* beta beta)) (* (fma (/ (fma (/ -1 i) (- (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (/ (/ 1 beta) alpha)) (fma (/ -1 i) 2 (/ -1 alpha))) (/ (/ (+ (/ 1 i) (/ 1 alpha)) (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)) (* i beta)) (fma (/ -1 i) 2 (/ -1 alpha))))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (cube beta) 2)))))
* [enter]simplify:  Simplifying (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) beta)
* * [misc]simplify:  iters left: 6 (13 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 (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))) beta)
* [exit]simplify:  Simplified to (/ (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))) beta)
* [enter]simplify:  Simplifying (/ i (* beta beta))
* * [misc]simplify:  iters left: 4 (4 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ i (* beta beta))
* [exit]simplify:  Simplified to (/ i (* beta beta))
* [enter]simplify:  Simplifying (* (/ (fma (/ 1 i) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 i))) (/ 1 (* beta alpha))) (/ (pow beta 4) i)) (+ i alpha))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (67 enodes)
* * [misc]simplify:  iters left: 3 (110 enodes)
* * [misc]simplify:  iters left: 2 (150 enodes)
* * [misc]simplify:  iters left: 1 (194 enodes)
* [exit]simplify:  Simplified to (* (/ (* (+ i alpha) i) (pow beta 4)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))))
* [exit]simplify:  Simplified to (* (/ (* (+ i alpha) i) (pow beta 4)) (fma (/ 1 i) (+ (/ 1 beta) (+ (/ 1 alpha) (/ 1 i))) (/ 1 (* alpha beta))))
* [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 (/ -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]simplify:  iters left: 6 (30 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (161 enodes)
* * [misc]simplify:  iters left: 2 (298 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))) (* (/ (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) (+ (/ 1 beta) (+ (/ 1 i) (/ 1 alpha)))) (* (- (fma (/ -1 i) 2 (/ -1 alpha)) (/ 1 beta)) i)))
* [enter]simplify:  Simplifying (- (fma 1.0 (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (pow beta 4) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))) (fma (* (* (/ (fma (/ 1 i) 2 (/ 1 alpha)) (/ (pow beta 4) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))))) 3 (/ (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))) (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (/ (* beta beta) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))))))) (/ (* (* 2 (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (* (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ 1 (* alpha beta))))) (/ (cube beta) (fma (/ 1 i) 2 (/ 1 alpha)))))
* * [misc]simplify:  iters left: 6 (40 enodes)
* * [misc]simplify:  iters left: 5 (82 enodes)
* * [misc]simplify:  iters left: 4 (187 enodes)
* [exit]simplify:  Simplified to (- (fma 1.0 (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ (/ 1 alpha) beta)) (/ (pow beta 4) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) (/ (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) (fma (* (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ (/ 1 alpha) beta)) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) (/ (/ (* (/ 1 i) (fma (/ 1 i) 2 (/ 1 alpha))) (/ (pow beta 4) (fma (/ 1 i) 2 (/ 1 alpha)))) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))) 3 (* (/ (/ (/ 1 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (sqr beta) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) (/ (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ (/ 1 alpha) beta)) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))))))) (/ (* (/ (/ (/ 2 i) (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha)))) (/ (+ (/ 1 beta) (fma (/ 1 i) 2 (/ 1 alpha))) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) (* (fma (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) (/ (/ 1 alpha) beta)) (fma (/ 1 i) 2 (/ 1 alpha)))) (cube beta)))
* [enter]simplify:  Simplifying (* (- (fma 3 (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (pow beta 4) (fma (/ -1 i) 2 (/ -1 alpha)))) (+ (/ (/ 1 beta) beta) (/ 1.0 (pow beta 4)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (/ (cube beta) 2))) (* (/ (+ (+ beta alpha) i) (+ (fma i 2 alpha) beta)) (* (fma i (+ (+ beta alpha) i) (* alpha beta)) (/ i (+ (fma i 2 alpha) beta)))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (137 enodes)
* * [misc]simplify:  iters left: 2 (268 enodes)
* * [misc]simplify:  iters left: 1 (476 enodes)
* [exit]simplify:  Simplified to (* (* (/ (+ i (+ beta alpha)) (+ (fma i 2 alpha) beta)) (/ (fma i (+ i (+ beta alpha)) (* beta alpha)) (/ (+ (fma i 2 alpha) beta) i))) (- (fma 3 (* (fma (/ -1 i) 2 (/ -1 alpha)) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (pow beta 4))) (+ (/ 1.0 (pow beta 4)) (/ 1 (* beta beta)))) (/ (fma (/ -1 i) 2 (/ -1 alpha)) (* (/ beta 2) (* beta beta)))))
* [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))))